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Finding the Fourth Proportional to 140,937.96, 194,445.90 and 83,565.48

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Solution

The fourth proportional to 140,937.96, 194,445.90 and 83,565.48 is: 115,291.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,937.96 : 194,445.90 = 83,565.48 : x
  2. Step 2: Convert to fraction form
    140,937.96/194,445.90 = 83,565.48/x
  3. Step 3: Cross multiply
    140,937.96x = 194,445.90 × 83,565.48
  4. Step 4: Simplify right side
    140,937.96x = 16,248,964,967.53
  5. Step 5: Solve for x
    x = 16,248,964,967.53/140,937.96
  6. Step 6: Final answer
    x = 115,291.61

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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.