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Finding the Fourth Proportional to 201,687.40, 302,531.10 and 83,319.40

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Solution

The fourth proportional to 201,687.40, 302,531.10 and 83,319.40 is: 124,979.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,687.40 : 302,531.10 = 83,319.40 : x
  2. Step 2: Convert to fraction form
    201,687.40/302,531.10 = 83,319.40/x
  3. Step 3: Cross multiply
    201,687.40x = 302,531.10 × 83,319.40
  4. Step 4: Simplify right side
    201,687.40x = 25,206,709,733.34
  5. Step 5: Solve for x
    x = 25,206,709,733.34/201,687.40
  6. Step 6: Final answer
    x = 124,979.10

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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.