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Finding the Fourth Proportional to 231,610.68, 347,363.71 and 117,643.06

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Solution

The fourth proportional to 231,610.68, 347,363.71 and 117,643.06 is: 176,438.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,610.68 : 347,363.71 = 117,643.06 : x
  2. Step 2: Convert to fraction form
    231,610.68/347,363.71 = 117,643.06/x
  3. Step 3: Cross multiply
    231,610.68x = 347,363.71 × 117,643.06
  4. Step 4: Simplify right side
    231,610.68x = 40,864,929,777.35
  5. Step 5: Solve for x
    x = 40,864,929,777.35/231,610.68
  6. Step 6: Final answer
    x = 176,438.02

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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.