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Finding the Fourth Proportional to 229,039.75, 315,943.54 and 142,849.10

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Solution

The fourth proportional to 229,039.75, 315,943.54 and 142,849.10 is: 197,049.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,039.75 : 315,943.54 = 142,849.10 : x
  2. Step 2: Convert to fraction form
    229,039.75/315,943.54 = 142,849.10/x
  3. Step 3: Cross multiply
    229,039.75x = 315,943.54 × 142,849.10
  4. Step 4: Simplify right side
    229,039.75x = 45,132,248,760.10
  5. Step 5: Solve for x
    x = 45,132,248,760.10/229,039.75
  6. Step 6: Final answer
    x = 197,049.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.