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Finding the Fourth Proportional to 129,000.03, 178,021.78 and 71,643.05

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Solution

The fourth proportional to 129,000.03, 178,021.78 and 71,643.05 is: 98,868.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,000.03 : 178,021.78 = 71,643.05 : x
  2. Step 2: Convert to fraction form
    129,000.03/178,021.78 = 71,643.05/x
  3. Step 3: Cross multiply
    129,000.03x = 178,021.78 × 71,643.05
  4. Step 4: Simplify right side
    129,000.03x = 12,754,023,286.99
  5. Step 5: Solve for x
    x = 12,754,023,286.99/129,000.03
  6. Step 6: Final answer
    x = 98,868.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.