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Finding the Fourth Proportional to 284,243.52, 392,253.53 and 156,916.38

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Solution

The fourth proportional to 284,243.52, 392,253.53 and 156,916.38 is: 216,543.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,243.52 : 392,253.53 = 156,916.38 : x
  2. Step 2: Convert to fraction form
    284,243.52/392,253.53 = 156,916.38/x
  3. Step 3: Cross multiply
    284,243.52x = 392,253.53 × 156,916.38
  4. Step 4: Simplify right side
    284,243.52x = 61,551,003,185.24
  5. Step 5: Solve for x
    x = 61,551,003,185.24/284,243.52
  6. Step 6: Final answer
    x = 216,543.21

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Why These Related Problems?

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