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Finding the Fourth Proportional to 136,370.88, 204,543.36 and 47,607.84

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Solution

The fourth proportional to 136,370.88, 204,543.36 and 47,607.84 is: 71,407.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,370.88 : 204,543.36 = 47,607.84 : x
  2. Step 2: Convert to fraction form
    136,370.88/204,543.36 = 47,607.84/x
  3. Step 3: Cross multiply
    136,370.88x = 204,543.36 × 47,607.84
  4. Step 4: Simplify right side
    136,370.88x = 9,737,867,555.94
  5. Step 5: Solve for x
    x = 9,737,867,555.94/136,370.88
  6. Step 6: Final answer
    x = 71,407.24

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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.