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Finding the Fourth Proportional to 136,838.03, 188,834.69 and 76,409.70

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Solution

The fourth proportional to 136,838.03, 188,834.69 and 76,409.70 is: 105,444.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,838.03 : 188,834.69 = 76,409.70 : x
  2. Step 2: Convert to fraction form
    136,838.03/188,834.69 = 76,409.70/x
  3. Step 3: Cross multiply
    136,838.03x = 188,834.69 × 76,409.70
  4. Step 4: Simplify right side
    136,838.03x = 14,428,801,630.44
  5. Step 5: Solve for x
    x = 14,428,801,630.44/136,838.03
  6. Step 6: Final answer
    x = 105,444.39

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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.