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Finding the Fourth Proportional to 130,477.80, 195,716.70 and 83,821.80

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Solution

The fourth proportional to 130,477.80, 195,716.70 and 83,821.80 is: 125,732.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,477.80 : 195,716.70 = 83,821.80 : x
  2. Step 2: Convert to fraction form
    130,477.80/195,716.70 = 83,821.80/x
  3. Step 3: Cross multiply
    130,477.80x = 195,716.70 × 83,821.80
  4. Step 4: Simplify right side
    130,477.80x = 16,405,326,084.06
  5. Step 5: Solve for x
    x = 16,405,326,084.06/130,477.80
  6. Step 6: Final answer
    x = 125,732.70

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1.5x scale

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.