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Finding the Fourth Proportional to 151,523.60, 209,094.12 and 83,540.48

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Solution

The fourth proportional to 151,523.60, 209,094.12 and 83,540.48 is: 115,281.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,523.60 : 209,094.12 = 83,540.48 : x
  2. Step 2: Convert to fraction form
    151,523.60/209,094.12 = 83,540.48/x
  3. Step 3: Cross multiply
    151,523.60x = 209,094.12 × 83,540.48
  4. Step 4: Simplify right side
    151,523.60x = 17,467,823,149.98
  5. Step 5: Solve for x
    x = 17,467,823,149.98/151,523.60
  6. Step 6: Final answer
    x = 115,281.20

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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.