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Finding the Fourth Proportional to 98,146.80, 147,176.40 and 35,773.56

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Solution

The fourth proportional to 98,146.80, 147,176.40 and 35,773.56 is: 53,644.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,146.80 : 147,176.40 = 35,773.56 : x
  2. Step 2: Convert to fraction form
    98,146.80/147,176.40 = 35,773.56/x
  3. Step 3: Cross multiply
    98,146.80x = 147,176.40 × 35,773.56
  4. Step 4: Simplify right side
    98,146.80x = 5,265,023,775.98
  5. Step 5: Solve for x
    x = 5,265,023,775.98/98,146.80
  6. Step 6: Final answer
    x = 53,644.38

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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.