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Finding the Fourth Proportional to 110,094.42, 151,930.17 and 59,793.06

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Solution

The fourth proportional to 110,094.42, 151,930.17 and 59,793.06 is: 82,514.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,094.42 : 151,930.17 = 59,793.06 : x
  2. Step 2: Convert to fraction form
    110,094.42/151,930.17 = 59,793.06/x
  3. Step 3: Cross multiply
    110,094.42x = 151,930.17 × 59,793.06
  4. Step 4: Simplify right side
    110,094.42x = 9,084,369,770.62
  5. Step 5: Solve for x
    x = 9,084,369,770.62/110,094.42
  6. Step 6: Final answer
    x = 82,514.35

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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.