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Finding the Fourth Proportional to 136,504.47, 204,778.71 and 47,756.01

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Solution

The fourth proportional to 136,504.47, 204,778.71 and 47,756.01 is: 71,641.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,504.47 : 204,778.71 = 47,756.01 : x
  2. Step 2: Convert to fraction form
    136,504.47/204,778.71 = 47,756.01/x
  3. Step 3: Cross multiply
    136,504.47x = 204,778.71 × 47,756.01
  4. Step 4: Simplify right side
    136,504.47x = 9,779,414,122.55
  5. Step 5: Solve for x
    x = 9,779,414,122.55/136,504.47
  6. Step 6: Final answer
    x = 71,641.71

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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.