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Finding the Fourth Proportional to 119,902.16, 165,439.32 and 69,574.16

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Solution

The fourth proportional to 119,902.16, 165,439.32 and 69,574.16 is: 95,997.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,902.16 : 165,439.32 = 69,574.16 : x
  2. Step 2: Convert to fraction form
    119,902.16/165,439.32 = 69,574.16/x
  3. Step 3: Cross multiply
    119,902.16x = 165,439.32 × 69,574.16
  4. Step 4: Simplify right side
    119,902.16x = 11,510,301,719.97
  5. Step 5: Solve for x
    x = 11,510,301,719.97/119,902.16
  6. Step 6: Final answer
    x = 95,997.45

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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.