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Finding the Fourth Proportional to 209,878.20, 314,817.30 and 135,228.60

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Solution

The fourth proportional to 209,878.20, 314,817.30 and 135,228.60 is: 202,842.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,878.20 : 314,817.30 = 135,228.60 : x
  2. Step 2: Convert to fraction form
    209,878.20/314,817.30 = 135,228.60/x
  3. Step 3: Cross multiply
    209,878.20x = 314,817.30 × 135,228.60
  4. Step 4: Simplify right side
    209,878.20x = 42,572,302,734.78
  5. Step 5: Solve for x
    x = 42,572,302,734.78/209,878.20
  6. Step 6: Final answer
    x = 202,842.90

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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.