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Finding the Fourth Proportional to 209,555.20, 314,143.25 and 76,404.30

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Solution

The fourth proportional to 209,555.20, 314,143.25 and 76,404.30 is: 114,537.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,555.20 : 314,143.25 = 76,404.30 : x
  2. Step 2: Convert to fraction form
    209,555.20/314,143.25 = 76,404.30/x
  3. Step 3: Cross multiply
    209,555.20x = 314,143.25 × 76,404.30
  4. Step 4: Simplify right side
    209,555.20x = 24,001,893,555.92
  5. Step 5: Solve for x
    x = 24,001,893,555.92/209,555.20
  6. Step 6: Final answer
    x = 114,537.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.