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Finding the Fourth Proportional to 151,511.67, 209,087.52 and 83,531.07

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Solution

The fourth proportional to 151,511.67, 209,087.52 and 83,531.07 is: 115,273.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,511.67 : 209,087.52 = 83,531.07 : x
  2. Step 2: Convert to fraction form
    151,511.67/209,087.52 = 83,531.07/x
  3. Step 3: Cross multiply
    151,511.67x = 209,087.52 × 83,531.07
  4. Step 4: Simplify right side
    151,511.67x = 17,465,304,269.25
  5. Step 5: Solve for x
    x = 17,465,304,269.25/151,511.67
  6. Step 6: Final answer
    x = 115,273.66

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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.