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Finding the Fourth Proportional to 95,231.64, 142,848.69 and 65,641.54

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Solution

The fourth proportional to 95,231.64, 142,848.69 and 65,641.54 is: 98,463.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,231.64 : 142,848.69 = 65,641.54 : x
  2. Step 2: Convert to fraction form
    95,231.64/142,848.69 = 65,641.54/x
  3. Step 3: Cross multiply
    95,231.64x = 142,848.69 × 65,641.54
  4. Step 4: Simplify right side
    95,231.64x = 9,376,807,998.58
  5. Step 5: Solve for x
    x = 9,376,807,998.58/95,231.64
  6. Step 6: Final answer
    x = 98,463.16

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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.