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Finding the Fourth Proportional to 135,442.80, 202,977.36 and 102,126.25

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Solution

The fourth proportional to 135,442.80, 202,977.36 and 102,126.25 is: 153,048.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,442.80 : 202,977.36 = 102,126.25 : x
  2. Step 2: Convert to fraction form
    135,442.80/202,977.36 = 102,126.25/x
  3. Step 3: Cross multiply
    135,442.80x = 202,977.36 × 102,126.25
  4. Step 4: Simplify right side
    135,442.80x = 20,729,316,611.70
  5. Step 5: Solve for x
    x = 20,729,316,611.70/135,442.80
  6. Step 6: Final answer
    x = 153,048.50

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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.