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Finding the Fourth Proportional to 243,454.16, 365,147.17 and 83,527.46

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Solution

The fourth proportional to 243,454.16, 365,147.17 and 83,527.46 is: 125,279.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,454.16 : 365,147.17 = 83,527.46 : x
  2. Step 2: Convert to fraction form
    243,454.16/365,147.17 = 83,527.46/x
  3. Step 3: Cross multiply
    243,454.16x = 365,147.17 × 83,527.46
  4. Step 4: Simplify right side
    243,454.16x = 30,499,815,636.29
  5. Step 5: Solve for x
    x = 30,499,815,636.29/243,454.16
  6. Step 6: Final answer
    x = 125,279.50

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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.