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Finding the Fourth Proportional to 98,467.66, 147,649.65 and 67,311.82

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Solution

The fourth proportional to 98,467.66, 147,649.65 and 67,311.82 is: 100,932.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,467.66 : 147,649.65 = 67,311.82 : x
  2. Step 2: Convert to fraction form
    98,467.66/147,649.65 = 67,311.82/x
  3. Step 3: Cross multiply
    98,467.66x = 147,649.65 × 67,311.82
  4. Step 4: Simplify right side
    98,467.66x = 9,938,566,663.86
  5. Step 5: Solve for x
    x = 9,938,566,663.86/98,467.66
  6. Step 6: Final answer
    x = 100,932.29

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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.