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Finding the Fourth Proportional to 90,502,965.80, 135,754,448.70 and 83,417,085.80

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Solution

The fourth proportional to 90,502,965.80, 135,754,448.70 and 83,417,085.80 is: 125,125,628.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,502,965.80 : 135,754,448.70 = 83,417,085.80 : x
  2. Step 2: Convert to fraction form
    90,502,965.80/135,754,448.70 = 83,417,085.80/x
  3. Step 3: Cross multiply
    90,502,965.80x = 135,754,448.70 × 83,417,085.80
  4. Step 4: Simplify right side
    90,502,965.80x = 11,324,240,494,939,598
  5. Step 5: Solve for x
    x = 11,324,240,494,939,598/90,502,965.80
  6. Step 6: Final answer
    x = 125,125,628.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.