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Finding the Fourth Proportional to 86,817.30, 130,031.55 and 71,265.30

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Solution

The fourth proportional to 86,817.30, 130,031.55 and 71,265.30 is: 106,738.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,817.30 : 130,031.55 = 71,265.30 : x
  2. Step 2: Convert to fraction form
    86,817.30/130,031.55 = 71,265.30/x
  3. Step 3: Cross multiply
    86,817.30x = 130,031.55 × 71,265.30
  4. Step 4: Simplify right side
    86,817.30x = 9,266,737,420.22
  5. Step 5: Solve for x
    x = 9,266,737,420.22/86,817.30
  6. Step 6: Final answer
    x = 106,738.37

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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.