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Finding the Fourth Proportional to 153,696.75, 230,560.50 and 47,079.47

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Solution

The fourth proportional to 153,696.75, 230,560.50 and 47,079.47 is: 70,623.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,696.75 : 230,560.50 = 47,079.47 : x
  2. Step 2: Convert to fraction form
    153,696.75/230,560.50 = 47,079.47/x
  3. Step 3: Cross multiply
    153,696.75x = 230,560.50 × 47,079.47
  4. Step 4: Simplify right side
    153,696.75x = 10,854,667,181.91
  5. Step 5: Solve for x
    x = 10,854,667,181.91/153,696.75
  6. Step 6: Final answer
    x = 70,623.92

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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.