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Finding the Fourth Proportional to 135,903.10, 203,854.65 and 114,907.90

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Solution

The fourth proportional to 135,903.10, 203,854.65 and 114,907.90 is: 172,361.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,903.10 : 203,854.65 = 114,907.90 : x
  2. Step 2: Convert to fraction form
    135,903.10/203,854.65 = 114,907.90/x
  3. Step 3: Cross multiply
    135,903.10x = 203,854.65 × 114,907.90
  4. Step 4: Simplify right side
    135,903.10x = 23,424,509,736.74
  5. Step 5: Solve for x
    x = 23,424,509,736.74/135,903.10
  6. Step 6: Final answer
    x = 172,361.85

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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.