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Finding the Fourth Proportional to 243,454.66, 365,147.92 and 83,527.96

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Solution

The fourth proportional to 243,454.66, 365,147.92 and 83,527.96 is: 125,280.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,454.66 : 365,147.92 = 83,527.96 : x
  2. Step 2: Convert to fraction form
    243,454.66/365,147.92 = 83,527.96/x
  3. Step 3: Cross multiply
    243,454.66x = 365,147.92 × 83,527.96
  4. Step 4: Simplify right side
    243,454.66x = 30,500,060,855.84
  5. Step 5: Solve for x
    x = 30,500,060,855.84/243,454.66
  6. Step 6: Final answer
    x = 125,280.25

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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.