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Finding the Fourth Proportional to 101,744.30, 152,616.45 and 86,710.70

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Solution

The fourth proportional to 101,744.30, 152,616.45 and 86,710.70 is: 130,066.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,744.30 : 152,616.45 = 86,710.70 : x
  2. Step 2: Convert to fraction form
    101,744.30/152,616.45 = 86,710.70/x
  3. Step 3: Cross multiply
    101,744.30x = 152,616.45 × 86,710.70
  4. Step 4: Simplify right side
    101,744.30x = 13,233,479,211.02
  5. Step 5: Solve for x
    x = 13,233,479,211.02/101,744.30
  6. Step 6: Final answer
    x = 130,066.05

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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.