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Finding the Fourth Proportional to 204,026.60, 306,039.90 and 137,671.40

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Solution

The fourth proportional to 204,026.60, 306,039.90 and 137,671.40 is: 206,507.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,026.60 : 306,039.90 = 137,671.40 : x
  2. Step 2: Convert to fraction form
    204,026.60/306,039.90 = 137,671.40/x
  3. Step 3: Cross multiply
    204,026.60x = 306,039.90 × 137,671.40
  4. Step 4: Simplify right side
    204,026.60x = 42,132,941,488.86
  5. Step 5: Solve for x
    x = 42,132,941,488.86/204,026.60
  6. Step 6: Final answer
    x = 206,507.10

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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.