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Finding the Fourth Proportional to 110,062.60, 164,948.10 and 97,523.80

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Solution

The fourth proportional to 110,062.60, 164,948.10 and 97,523.80 is: 146,156.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,062.60 : 164,948.10 = 97,523.80 : x
  2. Step 2: Convert to fraction form
    110,062.60/164,948.10 = 97,523.80/x
  3. Step 3: Cross multiply
    110,062.60x = 164,948.10 × 97,523.80
  4. Step 4: Simplify right side
    110,062.60x = 16,086,365,514.78
  5. Step 5: Solve for x
    x = 16,086,365,514.78/110,062.60
  6. Step 6: Final answer
    x = 146,156.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.