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Finding the Fourth Proportional to 209,215.80, 313,648.02 and 145,849.68

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Solution

The fourth proportional to 209,215.80, 313,648.02 and 145,849.68 is: 218,652.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,215.80 : 313,648.02 = 145,849.68 : x
  2. Step 2: Convert to fraction form
    209,215.80/313,648.02 = 145,849.68/x
  3. Step 3: Cross multiply
    209,215.80x = 313,648.02 × 145,849.68
  4. Step 4: Simplify right side
    209,215.80x = 45,745,463,349.63
  5. Step 5: Solve for x
    x = 45,745,463,349.63/209,215.80
  6. Step 6: Final answer
    x = 218,652.05

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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.