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Finding the Fourth Proportional to 137,217.60, 205,826.40 and 131,774.40

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Solution

The fourth proportional to 137,217.60, 205,826.40 and 131,774.40 is: 197,661.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,217.60 : 205,826.40 = 131,774.40 : x
  2. Step 2: Convert to fraction form
    137,217.60/205,826.40 = 131,774.40/x
  3. Step 3: Cross multiply
    137,217.60x = 205,826.40 × 131,774.40
  4. Step 4: Simplify right side
    137,217.60x = 27,122,650,364.16
  5. Step 5: Solve for x
    x = 27,122,650,364.16/137,217.60
  6. Step 6: Final answer
    x = 197,661.60

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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.