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Finding the Fourth Proportional to 276,489.60, 414,070.08 and 157,801.11

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Solution

The fourth proportional to 276,489.60, 414,070.08 and 157,801.11 is: 236,322.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,489.60 : 414,070.08 = 157,801.11 : x
  2. Step 2: Convert to fraction form
    276,489.60/414,070.08 = 157,801.11/x
  3. Step 3: Cross multiply
    276,489.60x = 414,070.08 × 157,801.11
  4. Step 4: Simplify right side
    276,489.60x = 65,340,718,241.79
  5. Step 5: Solve for x
    x = 65,340,718,241.79/276,489.60
  6. Step 6: Final answer
    x = 236,322.52

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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.