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Finding the Fourth Proportional to 182,862.78, 252,349.47 and 102,289.92

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Solution

The fourth proportional to 182,862.78, 252,349.47 and 102,289.92 is: 141,159.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,862.78 : 252,349.47 = 102,289.92 : x
  2. Step 2: Convert to fraction form
    182,862.78/252,349.47 = 102,289.92/x
  3. Step 3: Cross multiply
    182,862.78x = 252,349.47 × 102,289.92
  4. Step 4: Simplify right side
    182,862.78x = 25,812,807,098.34
  5. Step 5: Solve for x
    x = 25,812,807,098.34/182,862.78
  6. Step 6: Final answer
    x = 141,159.44

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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.