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Finding the Fourth Proportional to 284,102.48, 392,058 and 156,775.28

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Solution

The fourth proportional to 284,102.48, 392,058 and 156,775.28 is: 216,348.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,102.48 : 392,058 = 156,775.28 : x
  2. Step 2: Convert to fraction form
    284,102.48/392,058 = 156,775.28/x
  3. Step 3: Cross multiply
    284,102.48x = 392,058 × 156,775.28
  4. Step 4: Simplify right side
    284,102.48x = 61,465,002,726.24
  5. Step 5: Solve for x
    x = 61,465,002,726.24/284,102.48
  6. Step 6: Final answer
    x = 216,348.00

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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.