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Finding the Fourth Proportional to 130,982.92, 196,510.49 and 52,152.50

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Solution

The fourth proportional to 130,982.92, 196,510.49 and 52,152.50 is: 78,243.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,982.92 : 196,510.49 = 52,152.50 : x
  2. Step 2: Convert to fraction form
    130,982.92/196,510.49 = 52,152.50/x
  3. Step 3: Cross multiply
    130,982.92x = 196,510.49 × 52,152.50
  4. Step 4: Simplify right side
    130,982.92x = 10,248,513,329.73
  5. Step 5: Solve for x
    x = 10,248,513,329.73/130,982.92
  6. Step 6: Final answer
    x = 78,243.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.