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Finding the Fourth Proportional to 154,909.98, 232,754.31 and 98,775.90

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Solution

The fourth proportional to 154,909.98, 232,754.31 and 98,775.90 is: 148,412.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,909.98 : 232,754.31 = 98,775.90 : x
  2. Step 2: Convert to fraction form
    154,909.98/232,754.31 = 98,775.90/x
  3. Step 3: Cross multiply
    154,909.98x = 232,754.31 × 98,775.90
  4. Step 4: Simplify right side
    154,909.98x = 22,990,516,449.13
  5. Step 5: Solve for x
    x = 22,990,516,449.13/154,909.98
  6. Step 6: Final answer
    x = 148,412.11

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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.