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Finding the Fourth Proportional to 284,106.26, 392,055.18 and 156,780.20

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Solution

The fourth proportional to 284,106.26, 392,055.18 and 156,780.20 is: 216,350.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,106.26 : 392,055.18 = 156,780.20 : x
  2. Step 2: Convert to fraction form
    284,106.26/392,055.18 = 156,780.20/x
  3. Step 3: Cross multiply
    284,106.26x = 392,055.18 × 156,780.20
  4. Step 4: Simplify right side
    284,106.26x = 61,466,489,531.44
  5. Step 5: Solve for x
    x = 61,466,489,531.44/284,106.26
  6. Step 6: Final answer
    x = 216,350.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.