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Finding the Fourth Proportional to 284,151.44, 392,128.19 and 156,826.13

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Solution

The fourth proportional to 284,151.44, 392,128.19 and 156,826.13 is: 216,419.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,151.44 : 392,128.19 = 156,826.13 : x
  2. Step 2: Convert to fraction form
    284,151.44/392,128.19 = 156,826.13/x
  3. Step 3: Cross multiply
    284,151.44x = 392,128.19 × 156,826.13
  4. Step 4: Simplify right side
    284,151.44x = 61,495,944,344.93
  5. Step 5: Solve for x
    x = 61,495,944,344.93/284,151.44
  6. Step 6: Final answer
    x = 216,419.61

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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.