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Finding the Fourth Proportional to 284,716.95, 392,898.92 and 163,876.83

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Solution

The fourth proportional to 284,716.95, 392,898.92 and 163,876.83 is: 226,144.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,716.95 : 392,898.92 = 163,876.83 : x
  2. Step 2: Convert to fraction form
    284,716.95/392,898.92 = 163,876.83/x
  3. Step 3: Cross multiply
    284,716.95x = 392,898.92 × 163,876.83
  4. Step 4: Simplify right side
    284,716.95x = 64,387,028,700.64
  5. Step 5: Solve for x
    x = 64,387,028,700.64/284,716.95
  6. Step 6: Final answer
    x = 226,144.00

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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.