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Finding the Fourth Proportional to 136,220.92, 187,985.80 and 75,794.11

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Solution

The fourth proportional to 136,220.92, 187,985.80 and 75,794.11 is: 104,596.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,220.92 : 187,985.80 = 75,794.11 : x
  2. Step 2: Convert to fraction form
    136,220.92/187,985.80 = 75,794.11/x
  3. Step 3: Cross multiply
    136,220.92x = 187,985.80 × 75,794.11
  4. Step 4: Simplify right side
    136,220.92x = 14,248,216,028.42
  5. Step 5: Solve for x
    x = 14,248,216,028.42/136,220.92
  6. Step 6: Final answer
    x = 104,596.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.