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Finding the Fourth Proportional to 117,002.70, 175,504.05 and 42,207.30

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Solution

The fourth proportional to 117,002.70, 175,504.05 and 42,207.30 is: 63,310.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,002.70 : 175,504.05 = 42,207.30 : x
  2. Step 2: Convert to fraction form
    117,002.70/175,504.05 = 42,207.30/x
  3. Step 3: Cross multiply
    117,002.70x = 175,504.05 × 42,207.30
  4. Step 4: Simplify right side
    117,002.70x = 7,407,552,089.57
  5. Step 5: Solve for x
    x = 7,407,552,089.57/117,002.70
  6. Step 6: Final answer
    x = 63,310.95

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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.