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Finding the Fourth Proportional to 182,001.52, 251,162.94 and 105,565.87

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Solution

The fourth proportional to 182,001.52, 251,162.94 and 105,565.87 is: 145,681.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,001.52 : 251,162.94 = 105,565.87 : x
  2. Step 2: Convert to fraction form
    182,001.52/251,162.94 = 105,565.87/x
  3. Step 3: Cross multiply
    182,001.52x = 251,162.94 × 105,565.87
  4. Step 4: Simplify right side
    182,001.52x = 26,514,234,272.86
  5. Step 5: Solve for x
    x = 26,514,234,272.86/182,001.52
  6. Step 6: Final answer
    x = 145,681.39

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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.