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Finding the Fourth Proportional to 276,064.80, 414,097.20 and 157,748.10

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Solution

The fourth proportional to 276,064.80, 414,097.20 and 157,748.10 is: 236,622.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,064.80 : 414,097.20 = 157,748.10 : x
  2. Step 2: Convert to fraction form
    276,064.80/414,097.20 = 157,748.10/x
  3. Step 3: Cross multiply
    276,064.80x = 414,097.20 × 157,748.10
  4. Step 4: Simplify right side
    276,064.80x = 65,323,046,515.32
  5. Step 5: Solve for x
    x = 65,323,046,515.32/276,064.80
  6. Step 6: Final answer
    x = 236,622.15

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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.