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Finding the Fourth Proportional to 176,564.64, 264,697.92 and 76,649.16

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Solution

The fourth proportional to 176,564.64, 264,697.92 and 76,649.16 is: 114,909.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,564.64 : 264,697.92 = 76,649.16 : x
  2. Step 2: Convert to fraction form
    176,564.64/264,697.92 = 76,649.16/x
  3. Step 3: Cross multiply
    176,564.64x = 264,697.92 × 76,649.16
  4. Step 4: Simplify right side
    176,564.64x = 20,288,873,221.75
  5. Step 5: Solve for x
    x = 20,288,873,221.75/176,564.64
  6. Step 6: Final answer
    x = 114,909.04

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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.