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Finding the Fourth Proportional to 223,016.40, 334,265.40 and 89,830.80

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Solution

The fourth proportional to 223,016.40, 334,265.40 and 89,830.80 is: 134,641.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,016.40 : 334,265.40 = 89,830.80 : x
  2. Step 2: Convert to fraction form
    223,016.40/334,265.40 = 89,830.80/x
  3. Step 3: Cross multiply
    223,016.40x = 334,265.40 × 89,830.80
  4. Step 4: Simplify right side
    223,016.40x = 30,027,328,294.32
  5. Step 5: Solve for x
    x = 30,027,328,294.32/223,016.40
  6. Step 6: Final answer
    x = 134,641.79

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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.