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Finding the Fourth Proportional to 136,102.22, 187,829.57 and 75,686.38

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Solution

The fourth proportional to 136,102.22, 187,829.57 and 75,686.38 is: 104,451.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,102.22 : 187,829.57 = 75,686.38 : x
  2. Step 2: Convert to fraction form
    136,102.22/187,829.57 = 75,686.38/x
  3. Step 3: Cross multiply
    136,102.22x = 187,829.57 × 75,686.38
  4. Step 4: Simplify right side
    136,102.22x = 14,216,140,210.26
  5. Step 5: Solve for x
    x = 14,216,140,210.26/136,102.22
  6. Step 6: Final answer
    x = 104,451.93

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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.