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Finding the Fourth Proportional to 312,139.60, 468,209.40 and 134,992.60

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Solution

The fourth proportional to 312,139.60, 468,209.40 and 134,992.60 is: 202,488.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,139.60 : 468,209.40 = 134,992.60 : x
  2. Step 2: Convert to fraction form
    312,139.60/468,209.40 = 134,992.60/x
  3. Step 3: Cross multiply
    312,139.60x = 468,209.40 × 134,992.60
  4. Step 4: Simplify right side
    312,139.60x = 63,204,804,250.44
  5. Step 5: Solve for x
    x = 63,204,804,250.44/312,139.60
  6. Step 6: Final answer
    x = 202,488.90

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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.