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Finding the Fourth Proportional to 313,109.68, 432,132.05 and 175,341.05

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Solution

The fourth proportional to 313,109.68, 432,132.05 and 175,341.05 is: 241,993.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,109.68 : 432,132.05 = 175,341.05 : x
  2. Step 2: Convert to fraction form
    313,109.68/432,132.05 = 175,341.05/x
  3. Step 3: Cross multiply
    313,109.68x = 432,132.05 × 175,341.05
  4. Step 4: Simplify right side
    313,109.68x = 75,770,487,385.65
  5. Step 5: Solve for x
    x = 75,770,487,385.65/313,109.68
  6. Step 6: Final answer
    x = 241,993.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.