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Finding the Fourth Proportional to 101,024.40, 151,864.65 and 71,645.70

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Solution

The fourth proportional to 101,024.40, 151,864.65 and 71,645.70 is: 107,701.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,024.40 : 151,864.65 = 71,645.70 : x
  2. Step 2: Convert to fraction form
    101,024.40/151,864.65 = 71,645.70/x
  3. Step 3: Cross multiply
    101,024.40x = 151,864.65 × 71,645.70
  4. Step 4: Simplify right side
    101,024.40x = 10,880,449,154.51
  5. Step 5: Solve for x
    x = 10,880,449,154.51/101,024.40
  6. Step 6: Final answer
    x = 107,701.20

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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.