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Finding the Fourth Proportional to 176,716.53, 243,869.40 and 96,144.03

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Solution

The fourth proportional to 176,716.53, 243,869.40 and 96,144.03 is: 132,679.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,716.53 : 243,869.40 = 96,144.03 : x
  2. Step 2: Convert to fraction form
    176,716.53/243,869.40 = 96,144.03/x
  3. Step 3: Cross multiply
    176,716.53x = 243,869.40 × 96,144.03
  4. Step 4: Simplify right side
    176,716.53x = 23,446,586,909.68
  5. Step 5: Solve for x
    x = 23,446,586,909.68/176,716.53
  6. Step 6: Final answer
    x = 132,679.08

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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.