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Finding the Fourth Proportional to 176,595, 243,693.16 and 100,113

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Solution

The fourth proportional to 176,595, 243,693.16 and 100,113 is: 138,151.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,595 : 243,693.16 = 100,113 : x
  2. Step 2: Convert to fraction form
    176,595/243,693.16 = 100,113/x
  3. Step 3: Cross multiply
    176,595x = 243,693.16 × 100,113
  4. Step 4: Simplify right side
    176,595x = 24,396,853,327.08
  5. Step 5: Solve for x
    x = 24,396,853,327.08/176,595
  6. Step 6: Final answer
    x = 138,151.44

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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.