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Finding the Fourth Proportional to 155,266.38, 214,267.86 and 87,287.16

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Solution

The fourth proportional to 155,266.38, 214,267.86 and 87,287.16 is: 120,456.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,266.38 : 214,267.86 = 87,287.16 : x
  2. Step 2: Convert to fraction form
    155,266.38/214,267.86 = 87,287.16/x
  3. Step 3: Cross multiply
    155,266.38x = 214,267.86 × 87,287.16
  4. Step 4: Simplify right side
    155,266.38x = 18,702,832,978.68
  5. Step 5: Solve for x
    x = 18,702,832,978.68/155,266.38
  6. Step 6: Final answer
    x = 120,456.42

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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.