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Finding the Fourth Proportional to 136,961.24, 189,064.72 and 83,263.42

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Solution

The fourth proportional to 136,961.24, 189,064.72 and 83,263.42 is: 114,938.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,961.24 : 189,064.72 = 83,263.42 : x
  2. Step 2: Convert to fraction form
    136,961.24/189,064.72 = 83,263.42/x
  3. Step 3: Cross multiply
    136,961.24x = 189,064.72 × 83,263.42
  4. Step 4: Simplify right side
    136,961.24x = 15,742,175,188.54
  5. Step 5: Solve for x
    x = 15,742,175,188.54/136,961.24
  6. Step 6: Final answer
    x = 114,938.91

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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.