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Finding the Fourth Proportional to 110,468.56, 152,398.10 and 74,645.50

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Solution

The fourth proportional to 110,468.56, 152,398.10 and 74,645.50 is: 102,978.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,468.56 : 152,398.10 = 74,645.50 : x
  2. Step 2: Convert to fraction form
    110,468.56/152,398.10 = 74,645.50/x
  3. Step 3: Cross multiply
    110,468.56x = 152,398.10 × 74,645.50
  4. Step 4: Simplify right side
    110,468.56x = 11,375,832,373.55
  5. Step 5: Solve for x
    x = 11,375,832,373.55/110,468.56
  6. Step 6: Final answer
    x = 102,978.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.