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Finding the Fourth Proportional to 284,243.41, 392,245.62 and 156,916.27

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Solution

The fourth proportional to 284,243.41, 392,245.62 and 156,916.27 is: 216,538.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,243.41 : 392,245.62 = 156,916.27 : x
  2. Step 2: Convert to fraction form
    284,243.41/392,245.62 = 156,916.27/x
  3. Step 3: Cross multiply
    284,243.41x = 392,245.62 × 156,916.27
  4. Step 4: Simplify right side
    284,243.41x = 61,549,719,614.24
  5. Step 5: Solve for x
    x = 61,549,719,614.24/284,243.41
  6. Step 6: Final answer
    x = 216,538.77

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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.