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Finding the Fourth Proportional to 151,456.71, 209,001.73 and 83,473.47

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Solution

The fourth proportional to 151,456.71, 209,001.73 and 83,473.47 is: 115,188.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,456.71 : 209,001.73 = 83,473.47 : x
  2. Step 2: Convert to fraction form
    151,456.71/209,001.73 = 83,473.47/x
  3. Step 3: Cross multiply
    151,456.71x = 209,001.73 × 83,473.47
  4. Step 4: Simplify right side
    151,456.71x = 17,446,099,221.74
  5. Step 5: Solve for x
    x = 17,446,099,221.74/151,456.71
  6. Step 6: Final answer
    x = 115,188.69

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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.