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Finding the Fourth Proportional to 95,084.86, 142,699.14 and 65,027.28

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Solution

The fourth proportional to 95,084.86, 142,699.14 and 65,027.28 is: 97,590.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,084.86 : 142,699.14 = 65,027.28 : x
  2. Step 2: Convert to fraction form
    95,084.86/142,699.14 = 65,027.28/x
  3. Step 3: Cross multiply
    95,084.86x = 142,699.14 × 65,027.28
  4. Step 4: Simplify right side
    95,084.86x = 9,279,336,932.54
  5. Step 5: Solve for x
    x = 9,279,336,932.54/95,084.86
  6. Step 6: Final answer
    x = 97,590.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.