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Finding the Fourth Proportional to 136,241, 205,641.16 and 136,241

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Solution

The fourth proportional to 136,241, 205,641.16 and 136,241 is: 205,641.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,241 : 205,641.16 = 136,241 : x
  2. Step 2: Convert to fraction form
    136,241/205,641.16 = 136,241/x
  3. Step 3: Cross multiply
    136,241x = 205,641.16 × 136,241
  4. Step 4: Simplify right side
    136,241x = 28,016,757,279.56
  5. Step 5: Solve for x
    x = 28,016,757,279.56/136,241
  6. Step 6: Final answer
    x = 205,641.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.