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Finding the Fourth Proportional to 119,590, 165,034.24 and 69,318.16

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Solution

The fourth proportional to 119,590, 165,034.24 and 69,318.16 is: 95,659.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,590 : 165,034.24 = 69,318.16 : x
  2. Step 2: Convert to fraction form
    119,590/165,034.24 = 69,318.16/x
  3. Step 3: Cross multiply
    119,590x = 165,034.24 × 69,318.16
  4. Step 4: Simplify right side
    119,590x = 11,439,869,853.80
  5. Step 5: Solve for x
    x = 11,439,869,853.80/119,590
  6. Step 6: Final answer
    x = 95,659.08

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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.