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Finding the Fourth Proportional to 229,696.52, 344,193.92 and 96,503.95

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Solution

The fourth proportional to 229,696.52, 344,193.92 and 96,503.95 is: 144,608.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,696.52 : 344,193.92 = 96,503.95 : x
  2. Step 2: Convert to fraction form
    229,696.52/344,193.92 = 96,503.95/x
  3. Step 3: Cross multiply
    229,696.52x = 344,193.92 × 96,503.95
  4. Step 4: Simplify right side
    229,696.52x = 33,216,070,642.49
  5. Step 5: Solve for x
    x = 33,216,070,642.49/229,696.52
  6. Step 6: Final answer
    x = 144,608.51

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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.