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Finding the Fourth Proportional to 151,696.57, 209,339.80 and 83,714.17

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Solution

The fourth proportional to 151,696.57, 209,339.80 and 83,714.17 is: 115,524.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,696.57 : 209,339.80 = 83,714.17 : x
  2. Step 2: Convert to fraction form
    151,696.57/209,339.80 = 83,714.17/x
  3. Step 3: Cross multiply
    151,696.57x = 209,339.80 × 83,714.17
  4. Step 4: Simplify right side
    151,696.57x = 17,524,707,604.97
  5. Step 5: Solve for x
    x = 17,524,707,604.97/151,696.57
  6. Step 6: Final answer
    x = 115,524.75

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1.5x scale

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.