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Finding the Fourth Proportional to 201,366.60, 302,086.32 and 82,972.08

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Solution

The fourth proportional to 201,366.60, 302,086.32 and 82,972.08 is: 124,473.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,366.60 : 302,086.32 = 82,972.08 : x
  2. Step 2: Convert to fraction form
    201,366.60/302,086.32 = 82,972.08/x
  3. Step 3: Cross multiply
    201,366.60x = 302,086.32 × 82,972.08
  4. Step 4: Simplify right side
    201,366.60x = 25,064,730,309.95
  5. Step 5: Solve for x
    x = 25,064,730,309.95/201,366.60
  6. Step 6: Final answer
    x = 124,473.13

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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.