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Finding the Fourth Proportional to 209,115.68, 313,879.46 and 149,210.10

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Solution

The fourth proportional to 209,115.68, 313,879.46 and 149,210.10 is: 223,962.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,115.68 : 313,879.46 = 149,210.10 : x
  2. Step 2: Convert to fraction form
    209,115.68/313,879.46 = 149,210.10/x
  3. Step 3: Cross multiply
    209,115.68x = 313,879.46 × 149,210.10
  4. Step 4: Simplify right side
    209,115.68x = 46,833,984,868.50
  5. Step 5: Solve for x
    x = 46,833,984,868.50/209,115.68
  6. Step 6: Final answer
    x = 223,962.10

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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.