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Finding the Fourth Proportional to 152,709.13, 227,823.73 and 144,442.27

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Solution

The fourth proportional to 152,709.13, 227,823.73 and 144,442.27 is: 215,490.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,709.13 : 227,823.73 = 144,442.27 : x
  2. Step 2: Convert to fraction form
    152,709.13/227,823.73 = 144,442.27/x
  3. Step 3: Cross multiply
    152,709.13x = 227,823.73 × 144,442.27
  4. Step 4: Simplify right side
    152,709.13x = 32,907,375,581.95
  5. Step 5: Solve for x
    x = 32,907,375,581.95/152,709.13
  6. Step 6: Final answer
    x = 215,490.56

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.