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Finding the Fourth Proportional to 209,320.65, 313,634.70 and 120,419.10

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Solution

The fourth proportional to 209,320.65, 313,634.70 and 120,419.10 is: 180,429.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,320.65 : 313,634.70 = 120,419.10 : x
  2. Step 2: Convert to fraction form
    209,320.65/313,634.70 = 120,419.10/x
  3. Step 3: Cross multiply
    209,320.65x = 313,634.70 × 120,419.10
  4. Step 4: Simplify right side
    209,320.65x = 37,767,608,302.77
  5. Step 5: Solve for x
    x = 37,767,608,302.77/209,320.65
  6. Step 6: Final answer
    x = 180,429.44

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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.