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Finding the Fourth Proportional to 137,201.10, 205,801.65 and 134,436.30

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Solution

The fourth proportional to 137,201.10, 205,801.65 and 134,436.30 is: 201,654.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,201.10 : 205,801.65 = 134,436.30 : x
  2. Step 2: Convert to fraction form
    137,201.10/205,801.65 = 134,436.30/x
  3. Step 3: Cross multiply
    137,201.10x = 205,801.65 × 134,436.30
  4. Step 4: Simplify right side
    137,201.10x = 27,667,212,359.90
  5. Step 5: Solve for x
    x = 27,667,212,359.90/137,201.10
  6. Step 6: Final answer
    x = 201,654.45

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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.