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Finding the Fourth Proportional to 201,707.80, 302,561.70 and 138,722.20

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Solution

The fourth proportional to 201,707.80, 302,561.70 and 138,722.20 is: 208,083.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,707.80 : 302,561.70 = 138,722.20 : x
  2. Step 2: Convert to fraction form
    201,707.80/302,561.70 = 138,722.20/x
  3. Step 3: Cross multiply
    201,707.80x = 302,561.70 × 138,722.20
  4. Step 4: Simplify right side
    201,707.80x = 41,972,024,659.74
  5. Step 5: Solve for x
    x = 41,972,024,659.74/201,707.80
  6. Step 6: Final answer
    x = 208,083.30

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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.