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Finding the Fourth Proportional to 100,301.76, 150,387.84 and 50,353.92

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Solution

The fourth proportional to 100,301.76, 150,387.84 and 50,353.92 is: 75,498.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,301.76 : 150,387.84 = 50,353.92 : x
  2. Step 2: Convert to fraction form
    100,301.76/150,387.84 = 50,353.92/x
  3. Step 3: Cross multiply
    100,301.76x = 150,387.84 × 50,353.92
  4. Step 4: Simplify right side
    100,301.76x = 7,572,617,264.33
  5. Step 5: Solve for x
    x = 7,572,617,264.33/100,301.76
  6. Step 6: Final answer
    x = 75,498.35

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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.