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Finding the Fourth Proportional to 229,741.92, 344,483.28 and 89,339.76

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Solution

The fourth proportional to 229,741.92, 344,483.28 and 89,339.76 is: 133,959.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,741.92 : 344,483.28 = 89,339.76 : x
  2. Step 2: Convert to fraction form
    229,741.92/344,483.28 = 89,339.76/x
  3. Step 3: Cross multiply
    229,741.92x = 344,483.28 × 89,339.76
  4. Step 4: Simplify right side
    229,741.92x = 30,776,053,559.21
  5. Step 5: Solve for x
    x = 30,776,053,559.21/229,741.92
  6. Step 6: Final answer
    x = 133,959.24

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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.