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Finding the Fourth Proportional to 101,471.84, 152,260.26 and 73,621.76

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Solution

The fourth proportional to 101,471.84, 152,260.26 and 73,621.76 is: 110,470.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,471.84 : 152,260.26 = 73,621.76 : x
  2. Step 2: Convert to fraction form
    101,471.84/152,260.26 = 73,621.76/x
  3. Step 3: Cross multiply
    101,471.84x = 152,260.26 × 73,621.76
  4. Step 4: Simplify right side
    101,471.84x = 11,209,668,319.26
  5. Step 5: Solve for x
    x = 11,209,668,319.26/101,471.84
  6. Step 6: Final answer
    x = 110,470.73

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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.