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Finding the Fourth Proportional to 118,475.21, 177,712.80 and 47,429.82

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Solution

The fourth proportional to 118,475.21, 177,712.80 and 47,429.82 is: 71,144.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,475.21 : 177,712.80 = 47,429.82 : x
  2. Step 2: Convert to fraction form
    118,475.21/177,712.80 = 47,429.82/x
  3. Step 3: Cross multiply
    118,475.21x = 177,712.80 × 47,429.82
  4. Step 4: Simplify right side
    118,475.21x = 8,428,886,959.98
  5. Step 5: Solve for x
    x = 8,428,886,959.98/118,475.21
  6. Step 6: Final answer
    x = 71,144.73

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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.