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Finding the Fourth Proportional to 177,820.92, 245,632.50 and 142,265.16

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Solution

The fourth proportional to 177,820.92, 245,632.50 and 142,265.16 is: 196,517.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,820.92 : 245,632.50 = 142,265.16 : x
  2. Step 2: Convert to fraction form
    177,820.92/245,632.50 = 142,265.16/x
  3. Step 3: Cross multiply
    177,820.92x = 245,632.50 × 142,265.16
  4. Step 4: Simplify right side
    177,820.92x = 34,944,946,913.70
  5. Step 5: Solve for x
    x = 34,944,946,913.70/177,820.92
  6. Step 6: Final answer
    x = 196,517.64

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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.