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Finding the Fourth Proportional to 86,706.80, 130,060.20 and 82,114.10

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Solution

The fourth proportional to 86,706.80, 130,060.20 and 82,114.10 is: 123,171.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,706.80 : 130,060.20 = 82,114.10 : x
  2. Step 2: Convert to fraction form
    86,706.80/130,060.20 = 82,114.10/x
  3. Step 3: Cross multiply
    86,706.80x = 130,060.20 × 82,114.10
  4. Step 4: Simplify right side
    86,706.80x = 10,679,776,268.82
  5. Step 5: Solve for x
    x = 10,679,776,268.82/86,706.80
  6. Step 6: Final answer
    x = 123,171.15

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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.