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Finding the Fourth Proportional to 97,714.60, 146,571.90 and 73,138.60

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Solution

The fourth proportional to 97,714.60, 146,571.90 and 73,138.60 is: 109,707.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,714.60 : 146,571.90 = 73,138.60 : x
  2. Step 2: Convert to fraction form
    97,714.60/146,571.90 = 73,138.60/x
  3. Step 3: Cross multiply
    97,714.60x = 146,571.90 × 73,138.60
  4. Step 4: Simplify right side
    97,714.60x = 10,720,063,565.34
  5. Step 5: Solve for x
    x = 10,720,063,565.34/97,714.60
  6. Step 6: Final answer
    x = 109,707.90

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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.