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Finding the Fourth Proportional to 151,886.70, 209,599.38 and 83,902.59

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Solution

The fourth proportional to 151,886.70, 209,599.38 and 83,902.59 is: 115,783.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,886.70 : 209,599.38 = 83,902.59 : x
  2. Step 2: Convert to fraction form
    151,886.70/209,599.38 = 83,902.59/x
  3. Step 3: Cross multiply
    151,886.70x = 209,599.38 × 83,902.59
  4. Step 4: Simplify right side
    151,886.70x = 17,585,930,844.39
  5. Step 5: Solve for x
    x = 17,585,930,844.39/151,886.70
  6. Step 6: Final answer
    x = 115,783.22

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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.