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Finding the Fourth Proportional to 136,705.93, 188,641.11 and 83,020.35

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Solution

The fourth proportional to 136,705.93, 188,641.11 and 83,020.35 is: 114,560.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,705.93 : 188,641.11 = 83,020.35 : x
  2. Step 2: Convert to fraction form
    136,705.93/188,641.11 = 83,020.35/x
  3. Step 3: Cross multiply
    136,705.93x = 188,641.11 × 83,020.35
  4. Step 4: Simplify right side
    136,705.93x = 15,661,050,976.59
  5. Step 5: Solve for x
    x = 15,661,050,976.59/136,705.93
  6. Step 6: Final answer
    x = 114,560.14

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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.