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Finding the Fourth Proportional to 129,882.10, 194,823.15 and 103,638.10

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Solution

The fourth proportional to 129,882.10, 194,823.15 and 103,638.10 is: 155,457.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,882.10 : 194,823.15 = 103,638.10 : x
  2. Step 2: Convert to fraction form
    129,882.10/194,823.15 = 103,638.10/x
  3. Step 3: Cross multiply
    129,882.10x = 194,823.15 × 103,638.10
  4. Step 4: Simplify right side
    129,882.10x = 20,191,101,102.02
  5. Step 5: Solve for x
    x = 20,191,101,102.02/129,882.10
  6. Step 6: Final answer
    x = 155,457.15

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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.