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Finding the Fourth Proportional to 136,077.60, 204,116.40 and 41,307.60

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Solution

The fourth proportional to 136,077.60, 204,116.40 and 41,307.60 is: 61,961.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,077.60 : 204,116.40 = 41,307.60 : x
  2. Step 2: Convert to fraction form
    136,077.60/204,116.40 = 41,307.60/x
  3. Step 3: Cross multiply
    136,077.60x = 204,116.40 × 41,307.60
  4. Step 4: Simplify right side
    136,077.60x = 8,431,558,604.64
  5. Step 5: Solve for x
    x = 8,431,558,604.64/136,077.60
  6. Step 6: Final answer
    x = 61,961.40

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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.