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Finding the Fourth Proportional to 130,198.16, 195,295.84 and 98,801.04

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Solution

The fourth proportional to 130,198.16, 195,295.84 and 98,801.04 is: 148,200.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,198.16 : 195,295.84 = 98,801.04 : x
  2. Step 2: Convert to fraction form
    130,198.16/195,295.84 = 98,801.04/x
  3. Step 3: Cross multiply
    130,198.16x = 195,295.84 × 98,801.04
  4. Step 4: Simplify right side
    130,198.16x = 19,295,432,099.67
  5. Step 5: Solve for x
    x = 19,295,432,099.67/130,198.16
  6. Step 6: Final answer
    x = 148,200.50

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Why These Related Problems?

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