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Finding the Fourth Proportional to 136,292.96, 204,458.88 and 42,806

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Solution

The fourth proportional to 136,292.96, 204,458.88 and 42,806 is: 64,215.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,292.96 : 204,458.88 = 42,806 : x
  2. Step 2: Convert to fraction form
    136,292.96/204,458.88 = 42,806/x
  3. Step 3: Cross multiply
    136,292.96x = 204,458.88 × 42,806
  4. Step 4: Simplify right side
    136,292.96x = 8,752,066,817.28
  5. Step 5: Solve for x
    x = 8,752,066,817.28/136,292.96
  6. Step 6: Final answer
    x = 64,215.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.