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Finding the Fourth Proportional to 230,144.64, 344,993.88 and 117,877.92

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Solution

The fourth proportional to 230,144.64, 344,993.88 and 117,877.92 is: 176,702.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,144.64 : 344,993.88 = 117,877.92 : x
  2. Step 2: Convert to fraction form
    230,144.64/344,993.88 = 117,877.92/x
  3. Step 3: Cross multiply
    230,144.64x = 344,993.88 × 117,877.92
  4. Step 4: Simplify right side
    230,144.64x = 40,667,160,987.13
  5. Step 5: Solve for x
    x = 40,667,160,987.13/230,144.64
  6. Step 6: Final answer
    x = 176,702.62

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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.