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Finding the Fourth Proportional to 158,470.72, 218,691.28 and 86,849.16

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Solution

The fourth proportional to 158,470.72, 218,691.28 and 86,849.16 is: 119,852.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,470.72 : 218,691.28 = 86,849.16 : x
  2. Step 2: Convert to fraction form
    158,470.72/218,691.28 = 86,849.16/x
  3. Step 3: Cross multiply
    158,470.72x = 218,691.28 × 86,849.16
  4. Step 4: Simplify right side
    158,470.72x = 18,993,153,967.32
  5. Step 5: Solve for x
    x = 18,993,153,967.32/158,470.72
  6. Step 6: Final answer
    x = 119,852.77

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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.