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Finding the Fourth Proportional to 201,649.92, 302,543.28 and 89,315.04

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Solution

The fourth proportional to 201,649.92, 302,543.28 and 89,315.04 is: 134,002.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,649.92 : 302,543.28 = 89,315.04 : x
  2. Step 2: Convert to fraction form
    201,649.92/302,543.28 = 89,315.04/x
  3. Step 3: Cross multiply
    201,649.92x = 302,543.28 × 89,315.04
  4. Step 4: Simplify right side
    201,649.92x = 27,021,665,154.93
  5. Step 5: Solve for x
    x = 27,021,665,154.93/201,649.92
  6. Step 6: Final answer
    x = 134,002.86

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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.