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Finding the Fourth Proportional to 177,537.92, 245,001.02 and 96,965.48

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Solution

The fourth proportional to 177,537.92, 245,001.02 and 96,965.48 is: 133,811.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,537.92 : 245,001.02 = 96,965.48 : x
  2. Step 2: Convert to fraction form
    177,537.92/245,001.02 = 96,965.48/x
  3. Step 3: Cross multiply
    177,537.92x = 245,001.02 × 96,965.48
  4. Step 4: Simplify right side
    177,537.92x = 23,756,641,019.96
  5. Step 5: Solve for x
    x = 23,756,641,019.96/177,537.92
  6. Step 6: Final answer
    x = 133,811.64

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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.