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Finding the Fourth Proportional to 201,700.72, 302,550.90 and 83,241.76

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Solution

The fourth proportional to 201,700.72, 302,550.90 and 83,241.76 is: 124,862.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,700.72 : 302,550.90 = 83,241.76 : x
  2. Step 2: Convert to fraction form
    201,700.72/302,550.90 = 83,241.76/x
  3. Step 3: Cross multiply
    201,700.72x = 302,550.90 × 83,241.76
  4. Step 4: Simplify right side
    201,700.72x = 25,184,869,405.58
  5. Step 5: Solve for x
    x = 25,184,869,405.58/201,700.72
  6. Step 6: Final answer
    x = 124,862.57

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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.