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Finding the Fourth Proportional to 198,963.53, 298,045.56 and 98,820.80

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Solution

The fourth proportional to 198,963.53, 298,045.56 and 98,820.80 is: 148,032.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,963.53 : 298,045.56 = 98,820.80 : x
  2. Step 2: Convert to fraction form
    198,963.53/298,045.56 = 98,820.80/x
  3. Step 3: Cross multiply
    198,963.53x = 298,045.56 × 98,820.80
  4. Step 4: Simplify right side
    198,963.53x = 29,453,100,675.65
  5. Step 5: Solve for x
    x = 29,453,100,675.65/198,963.53
  6. Step 6: Final answer
    x = 148,032.66

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1.5x scale

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.