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Finding the Fourth Proportional to 154,965.80, 232,448.70 and 154,965.80

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Solution

The fourth proportional to 154,965.80, 232,448.70 and 154,965.80 is: 232,448.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,965.80 : 232,448.70 = 154,965.80 : x
  2. Step 2: Convert to fraction form
    154,965.80/232,448.70 = 154,965.80/x
  3. Step 3: Cross multiply
    154,965.80x = 232,448.70 × 154,965.80
  4. Step 4: Simplify right side
    154,965.80x = 36,021,598,754.46
  5. Step 5: Solve for x
    x = 36,021,598,754.46/154,965.80
  6. Step 6: Final answer
    x = 232,448.70

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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.