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Finding the Fourth Proportional to 176,582.43, 243,682.70 and 100,116

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Solution

The fourth proportional to 176,582.43, 243,682.70 and 100,116 is: 138,159.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,582.43 : 243,682.70 = 100,116 : x
  2. Step 2: Convert to fraction form
    176,582.43/243,682.70 = 100,116/x
  3. Step 3: Cross multiply
    176,582.43x = 243,682.70 × 100,116
  4. Step 4: Simplify right side
    176,582.43x = 24,396,536,692.62
  5. Step 5: Solve for x
    x = 24,396,536,692.62/176,582.43
  6. Step 6: Final answer
    x = 138,159.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.