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Finding the Fourth Proportional to 151,473.91, 209,024.48 and 83,487.14

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Solution

The fourth proportional to 151,473.91, 209,024.48 and 83,487.14 is: 115,207.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,473.91 : 209,024.48 = 83,487.14 : x
  2. Step 2: Convert to fraction form
    151,473.91/209,024.48 = 83,487.14/x
  3. Step 3: Cross multiply
    151,473.91x = 209,024.48 × 83,487.14
  4. Step 4: Simplify right side
    151,473.91x = 17,450,855,972.62
  5. Step 5: Solve for x
    x = 17,450,855,972.62/151,473.91
  6. Step 6: Final answer
    x = 115,207.01

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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.