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Finding the Fourth Proportional to 135,101.84, 202,488.90 and 99,230.55

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Solution

The fourth proportional to 135,101.84, 202,488.90 and 99,230.55 is: 148,725.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,101.84 : 202,488.90 = 99,230.55 : x
  2. Step 2: Convert to fraction form
    135,101.84/202,488.90 = 99,230.55/x
  3. Step 3: Cross multiply
    135,101.84x = 202,488.90 × 99,230.55
  4. Step 4: Simplify right side
    135,101.84x = 20,093,083,784.45
  5. Step 5: Solve for x
    x = 20,093,083,784.45/135,101.84
  6. Step 6: Final answer
    x = 148,725.46

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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.