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Finding the Fourth Proportional to 209,550.80, 314,326.20 and 84,891.80

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Solution

The fourth proportional to 209,550.80, 314,326.20 and 84,891.80 is: 127,337.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,550.80 : 314,326.20 = 84,891.80 : x
  2. Step 2: Convert to fraction form
    209,550.80/314,326.20 = 84,891.80/x
  3. Step 3: Cross multiply
    209,550.80x = 314,326.20 × 84,891.80
  4. Step 4: Simplify right side
    209,550.80x = 26,683,716,905.16
  5. Step 5: Solve for x
    x = 26,683,716,905.16/209,550.80
  6. Step 6: Final answer
    x = 127,337.70

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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.