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Finding the Fourth Proportional to 101,158.74, 151,689.56 and 47,806.25

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Solution

The fourth proportional to 101,158.74, 151,689.56 and 47,806.25 is: 71,686.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,158.74 : 151,689.56 = 47,806.25 : x
  2. Step 2: Convert to fraction form
    101,158.74/151,689.56 = 47,806.25/x
  3. Step 3: Cross multiply
    101,158.74x = 151,689.56 × 47,806.25
  4. Step 4: Simplify right side
    101,158.74x = 7,251,708,030.27
  5. Step 5: Solve for x
    x = 7,251,708,030.27/101,158.74
  6. Step 6: Final answer
    x = 71,686.42

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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.