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Finding the Fourth Proportional to 243,639.66, 365,214.16 and 101,563.61

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Solution

The fourth proportional to 243,639.66, 365,214.16 and 101,563.61 is: 152,243.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,639.66 : 365,214.16 = 101,563.61 : x
  2. Step 2: Convert to fraction form
    243,639.66/365,214.16 = 101,563.61/x
  3. Step 3: Cross multiply
    243,639.66x = 365,214.16 × 101,563.61
  4. Step 4: Simplify right side
    243,639.66x = 37,092,466,432.74
  5. Step 5: Solve for x
    x = 37,092,466,432.74/243,639.66
  6. Step 6: Final answer
    x = 152,243.14

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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.