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Finding the Fourth Proportional to 151,757.69, 209,425.65 and 83,774.70

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Solution

The fourth proportional to 151,757.69, 209,425.65 and 83,774.70 is: 115,609.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,757.69 : 209,425.65 = 83,774.70 : x
  2. Step 2: Convert to fraction form
    151,757.69/209,425.65 = 83,774.70/x
  3. Step 3: Cross multiply
    151,757.69x = 209,425.65 × 83,774.70
  4. Step 4: Simplify right side
    151,757.69x = 17,544,571,001.06
  5. Step 5: Solve for x
    x = 17,544,571,001.06/151,757.69
  6. Step 6: Final answer
    x = 115,609.11

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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.