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Finding the Fourth Proportional to 229,498.40, 344,074.80 and 96,269.60

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Solution

The fourth proportional to 229,498.40, 344,074.80 and 96,269.60 is: 144,331.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,498.40 : 344,074.80 = 96,269.60 : x
  2. Step 2: Convert to fraction form
    229,498.40/344,074.80 = 96,269.60/x
  3. Step 3: Cross multiply
    229,498.40x = 344,074.80 × 96,269.60
  4. Step 4: Simplify right side
    229,498.40x = 33,123,943,366.08
  5. Step 5: Solve for x
    x = 33,123,943,366.08/229,498.40
  6. Step 6: Final answer
    x = 144,331.91

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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.