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Finding the Fourth Proportional to 201,934.40, 302,858.40 and 89,614.40

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Solution

The fourth proportional to 201,934.40, 302,858.40 and 89,614.40 is: 134,402.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,934.40 : 302,858.40 = 89,614.40 : x
  2. Step 2: Convert to fraction form
    201,934.40/302,858.40 = 89,614.40/x
  3. Step 3: Cross multiply
    201,934.40x = 302,858.40 × 89,614.40
  4. Step 4: Simplify right side
    201,934.40x = 27,140,473,800.96
  5. Step 5: Solve for x
    x = 27,140,473,800.96/201,934.40
  6. Step 6: Final answer
    x = 134,402.43

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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.