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Finding the Fourth Proportional to 284,072.04, 392,018.96 and 156,747.54

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Solution

The fourth proportional to 284,072.04, 392,018.96 and 156,747.54 is: 216,311.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,072.04 : 392,018.96 = 156,747.54 : x
  2. Step 2: Convert to fraction form
    284,072.04/392,018.96 = 156,747.54/x
  3. Step 3: Cross multiply
    284,072.04x = 392,018.96 × 156,747.54
  4. Step 4: Simplify right side
    284,072.04x = 61,448,007,613.36
  5. Step 5: Solve for x
    x = 61,448,007,613.36/284,072.04
  6. Step 6: Final answer
    x = 216,311.35

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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.