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Finding the Fourth Proportional to 310,754.77, 466,130.82 and 86,114.55

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Solution

The fourth proportional to 310,754.77, 466,130.82 and 86,114.55 is: 129,171.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,754.77 : 466,130.82 = 86,114.55 : x
  2. Step 2: Convert to fraction form
    310,754.77/466,130.82 = 86,114.55/x
  3. Step 3: Cross multiply
    310,754.77x = 466,130.82 × 86,114.55
  4. Step 4: Simplify right side
    310,754.77x = 40,140,647,553.42
  5. Step 5: Solve for x
    x = 40,140,647,553.42/310,754.77
  6. Step 6: Final answer
    x = 129,171.46

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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.