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Finding the Fourth Proportional to 282,755.10, 424,132.65 and 156,783.90

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Solution

The fourth proportional to 282,755.10, 424,132.65 and 156,783.90 is: 235,175.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,755.10 : 424,132.65 = 156,783.90 : x
  2. Step 2: Convert to fraction form
    282,755.10/424,132.65 = 156,783.90/x
  3. Step 3: Cross multiply
    282,755.10x = 424,132.65 × 156,783.90
  4. Step 4: Simplify right side
    282,755.10x = 66,497,170,984.34
  5. Step 5: Solve for x
    x = 66,497,170,984.34/282,755.10
  6. Step 6: Final answer
    x = 235,175.85

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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.