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Finding the Fourth Proportional to 209,565.96, 314,414.58 and 134,770.56

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Solution

The fourth proportional to 209,565.96, 314,414.58 and 134,770.56 is: 202,198.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,565.96 : 314,414.58 = 134,770.56 : x
  2. Step 2: Convert to fraction form
    209,565.96/314,414.58 = 134,770.56/x
  3. Step 3: Cross multiply
    209,565.96x = 314,414.58 × 134,770.56
  4. Step 4: Simplify right side
    209,565.96x = 42,373,829,018.76
  5. Step 5: Solve for x
    x = 42,373,829,018.76/209,565.96
  6. Step 6: Final answer
    x = 202,198.05

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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.