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Finding the Fourth Proportional to 209,914.80, 314,872.20 and 201,166.80

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Solution

The fourth proportional to 209,914.80, 314,872.20 and 201,166.80 is: 301,750.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,914.80 : 314,872.20 = 201,166.80 : x
  2. Step 2: Convert to fraction form
    209,914.80/314,872.20 = 201,166.80/x
  3. Step 3: Cross multiply
    209,914.80x = 314,872.20 × 201,166.80
  4. Step 4: Simplify right side
    209,914.80x = 63,341,832,882.96
  5. Step 5: Solve for x
    x = 63,341,832,882.96/209,914.80
  6. Step 6: Final answer
    x = 301,750.20

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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.