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Finding the Fourth Proportional to 201,560.58, 302,314.71 and 83,215.92

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Solution

The fourth proportional to 201,560.58, 302,314.71 and 83,215.92 is: 124,813.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,560.58 : 302,314.71 = 83,215.92 : x
  2. Step 2: Convert to fraction form
    201,560.58/302,314.71 = 83,215.92/x
  3. Step 3: Cross multiply
    201,560.58x = 302,314.71 × 83,215.92
  4. Step 4: Simplify right side
    201,560.58x = 25,157,396,722.18
  5. Step 5: Solve for x
    x = 25,157,396,722.18/201,560.58
  6. Step 6: Final answer
    x = 124,813.08

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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.