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Finding the Fourth Proportional to 276,649.08, 414,308.32 and 157,960.68

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Solution

The fourth proportional to 276,649.08, 414,308.32 and 157,960.68 is: 236,561.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,649.08 : 414,308.32 = 157,960.68 : x
  2. Step 2: Convert to fraction form
    276,649.08/414,308.32 = 157,960.68/x
  3. Step 3: Cross multiply
    276,649.08x = 414,308.32 × 157,960.68
  4. Step 4: Simplify right side
    276,649.08x = 65,444,423,956.86
  5. Step 5: Solve for x
    x = 65,444,423,956.86/276,649.08
  6. Step 6: Final answer
    x = 236,561.15

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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.