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Finding the Fourth Proportional to 95,285.93, 142,899.64 and 65,892.65

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Solution

The fourth proportional to 95,285.93, 142,899.64 and 65,892.65 is: 98,818.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,285.93 : 142,899.64 = 65,892.65 : x
  2. Step 2: Convert to fraction form
    95,285.93/142,899.64 = 65,892.65/x
  3. Step 3: Cross multiply
    95,285.93x = 142,899.64 × 65,892.65
  4. Step 4: Simplify right side
    95,285.93x = 9,416,036,156.16
  5. Step 5: Solve for x
    x = 9,416,036,156.16/95,285.93
  6. Step 6: Final answer
    x = 98,818.74

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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.