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Finding the Fourth Proportional to 117,117.60, 175,633.20 and 38,234.40

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Solution

The fourth proportional to 117,117.60, 175,633.20 and 38,234.40 is: 57,337.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,117.60 : 175,633.20 = 38,234.40 : x
  2. Step 2: Convert to fraction form
    117,117.60/175,633.20 = 38,234.40/x
  3. Step 3: Cross multiply
    117,117.60x = 175,633.20 × 38,234.40
  4. Step 4: Simplify right side
    117,117.60x = 6,715,230,022.08
  5. Step 5: Solve for x
    x = 6,715,230,022.08/117,117.60
  6. Step 6: Final answer
    x = 57,337.50

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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.