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Finding the Fourth Proportional to 176,729.40, 243,868.32 and 100,233

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Solution

The fourth proportional to 176,729.40, 243,868.32 and 100,233 is: 138,311.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,729.40 : 243,868.32 = 100,233 : x
  2. Step 2: Convert to fraction form
    176,729.40/243,868.32 = 100,233/x
  3. Step 3: Cross multiply
    176,729.40x = 243,868.32 × 100,233
  4. Step 4: Simplify right side
    176,729.40x = 24,443,653,318.56
  5. Step 5: Solve for x
    x = 24,443,653,318.56/176,729.40
  6. Step 6: Final answer
    x = 138,311.19

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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.