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Finding the Fourth Proportional to 136,963.74, 189,068.17 and 83,265.92

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Solution

The fourth proportional to 136,963.74, 189,068.17 and 83,265.92 is: 114,942.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,963.74 : 189,068.17 = 83,265.92 : x
  2. Step 2: Convert to fraction form
    136,963.74/189,068.17 = 83,265.92/x
  3. Step 3: Cross multiply
    136,963.74x = 189,068.17 × 83,265.92
  4. Step 4: Simplify right side
    136,963.74x = 15,742,935,117.77
  5. Step 5: Solve for x
    x = 15,742,935,117.77/136,963.74
  6. Step 6: Final answer
    x = 114,942.36

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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.