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Finding the Fourth Proportional to 136,364.64, 204,542.10 and 47,617.80

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Solution

The fourth proportional to 136,364.64, 204,542.10 and 47,617.80 is: 71,425.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,364.64 : 204,542.10 = 47,617.80 : x
  2. Step 2: Convert to fraction form
    136,364.64/204,542.10 = 47,617.80/x
  3. Step 3: Cross multiply
    136,364.64x = 204,542.10 × 47,617.80
  4. Step 4: Simplify right side
    136,364.64x = 9,739,844,809.38
  5. Step 5: Solve for x
    x = 9,739,844,809.38/136,364.64
  6. Step 6: Final answer
    x = 71,425.00

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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.