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Finding the Fourth Proportional to 129,223.38, 178,302.12 and 75,498.02

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Solution

The fourth proportional to 129,223.38, 178,302.12 and 75,498.02 is: 104,171.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,223.38 : 178,302.12 = 75,498.02 : x
  2. Step 2: Convert to fraction form
    129,223.38/178,302.12 = 75,498.02/x
  3. Step 3: Cross multiply
    129,223.38x = 178,302.12 × 75,498.02
  4. Step 4: Simplify right side
    129,223.38x = 13,461,457,021.80
  5. Step 5: Solve for x
    x = 13,461,457,021.80/129,223.38
  6. Step 6: Final answer
    x = 104,171.99

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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.