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Finding the Fourth Proportional to 154,403.70, 231,605.55 and 148,498.80

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Solution

The fourth proportional to 154,403.70, 231,605.55 and 148,498.80 is: 222,748.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,403.70 : 231,605.55 = 148,498.80 : x
  2. Step 2: Convert to fraction form
    154,403.70/231,605.55 = 148,498.80/x
  3. Step 3: Cross multiply
    154,403.70x = 231,605.55 × 148,498.80
  4. Step 4: Simplify right side
    154,403.70x = 34,393,146,248.34
  5. Step 5: Solve for x
    x = 34,393,146,248.34/154,403.70
  6. Step 6: Final answer
    x = 222,748.20

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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.