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Finding the Fourth Proportional to 154,337.76, 231,894.18 and 98,202.30

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Solution

The fourth proportional to 154,337.76, 231,894.18 and 98,202.30 is: 147,550.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,337.76 : 231,894.18 = 98,202.30 : x
  2. Step 2: Convert to fraction form
    154,337.76/231,894.18 = 98,202.30/x
  3. Step 3: Cross multiply
    154,337.76x = 231,894.18 × 98,202.30
  4. Step 4: Simplify right side
    154,337.76x = 22,772,541,832.61
  5. Step 5: Solve for x
    x = 22,772,541,832.61/154,337.76
  6. Step 6: Final answer
    x = 147,550.03

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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.