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Finding the Fourth Proportional to 151,511.88, 209,087.74 and 83,531.25

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Solution

The fourth proportional to 151,511.88, 209,087.74 and 83,531.25 is: 115,273.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,511.88 : 209,087.74 = 83,531.25 : x
  2. Step 2: Convert to fraction form
    151,511.88/209,087.74 = 83,531.25/x
  3. Step 3: Cross multiply
    151,511.88x = 209,087.74 × 83,531.25
  4. Step 4: Simplify right side
    151,511.88x = 17,465,360,281.88
  5. Step 5: Solve for x
    x = 17,465,360,281.88/151,511.88
  6. Step 6: Final answer
    x = 115,273.87

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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.