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Finding the Fourth Proportional to 255,220.40, 382,402.92 and 180,216.02

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Solution

The fourth proportional to 255,220.40, 382,402.92 and 180,216.02 is: 270,022.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,220.40 : 382,402.92 = 180,216.02 : x
  2. Step 2: Convert to fraction form
    255,220.40/382,402.92 = 180,216.02/x
  3. Step 3: Cross multiply
    255,220.40x = 382,402.92 × 180,216.02
  4. Step 4: Simplify right side
    255,220.40x = 68,915,132,278.78
  5. Step 5: Solve for x
    x = 68,915,132,278.78/255,220.40
  6. Step 6: Final answer
    x = 270,022.04

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