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Finding the Fourth Proportional to 136,931.60, 188,864.52 and 86,582

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Solution

The fourth proportional to 136,931.60, 188,864.52 and 86,582 is: 119,419.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,931.60 : 188,864.52 = 86,582 : x
  2. Step 2: Convert to fraction form
    136,931.60/188,864.52 = 86,582/x
  3. Step 3: Cross multiply
    136,931.60x = 188,864.52 × 86,582
  4. Step 4: Simplify right side
    136,931.60x = 16,352,267,870.64
  5. Step 5: Solve for x
    x = 16,352,267,870.64/136,931.60
  6. Step 6: Final answer
    x = 119,419.24

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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.