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Finding the Fourth Proportional to 230,129.67, 344,971.35 and 117,862.86

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Solution

The fourth proportional to 230,129.67, 344,971.35 and 117,862.86 is: 176,680.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,129.67 : 344,971.35 = 117,862.86 : x
  2. Step 2: Convert to fraction form
    230,129.67/344,971.35 = 117,862.86/x
  3. Step 3: Cross multiply
    230,129.67x = 344,971.35 × 117,862.86
  4. Step 4: Simplify right side
    230,129.67x = 40,659,309,929.06
  5. Step 5: Solve for x
    x = 40,659,309,929.06/230,129.67
  6. Step 6: Final answer
    x = 176,680.00

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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.