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Finding the Fourth Proportional to 86,952.10, 130,428.15 and 82,869.70

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Solution

The fourth proportional to 86,952.10, 130,428.15 and 82,869.70 is: 124,304.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,952.10 : 130,428.15 = 82,869.70 : x
  2. Step 2: Convert to fraction form
    86,952.10/130,428.15 = 82,869.70/x
  3. Step 3: Cross multiply
    86,952.10x = 130,428.15 × 82,869.70
  4. Step 4: Simplify right side
    86,952.10x = 10,808,541,662.06
  5. Step 5: Solve for x
    x = 10,808,541,662.06/86,952.10
  6. Step 6: Final answer
    x = 124,304.55

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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.