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Finding the Fourth Proportional to 177,416, 244,834.40 and 97,928

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Solution

The fourth proportional to 177,416, 244,834.40 and 97,928 is: 135,140.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,416 : 244,834.40 = 97,928 : x
  2. Step 2: Convert to fraction form
    177,416/244,834.40 = 97,928/x
  3. Step 3: Cross multiply
    177,416x = 244,834.40 × 97,928
  4. Step 4: Simplify right side
    177,416x = 23,976,143,123.20
  5. Step 5: Solve for x
    x = 23,976,143,123.20/177,416
  6. Step 6: Final answer
    x = 135,140.82

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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.