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Finding the Fourth Proportional to 276,534, 414,810.72 and 158,150.88

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Solution

The fourth proportional to 276,534, 414,810.72 and 158,150.88 is: 237,231.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,534 : 414,810.72 = 158,150.88 : x
  2. Step 2: Convert to fraction form
    276,534/414,810.72 = 158,150.88/x
  3. Step 3: Cross multiply
    276,534x = 414,810.72 × 158,150.88
  4. Step 4: Simplify right side
    276,534x = 65,602,680,401.43
  5. Step 5: Solve for x
    x = 65,602,680,401.43/276,534
  6. Step 6: Final answer
    x = 237,231.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.