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Finding the Fourth Proportional to 201,538.75, 302,298.16 and 75,169.15

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Solution

The fourth proportional to 201,538.75, 302,298.16 and 75,169.15 is: 112,750.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,538.75 : 302,298.16 = 75,169.15 : x
  2. Step 2: Convert to fraction form
    201,538.75/302,298.16 = 75,169.15/x
  3. Step 3: Cross multiply
    201,538.75x = 302,298.16 × 75,169.15
  4. Step 4: Simplify right side
    201,538.75x = 22,723,494,931.04
  5. Step 5: Solve for x
    x = 22,723,494,931.04/201,538.75
  6. Step 6: Final answer
    x = 112,750.00

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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.