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Finding the Fourth Proportional to 118,726.76, 178,049.14 and 34,464.08

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Solution

The fourth proportional to 118,726.76, 178,049.14 and 34,464.08 is: 51,684.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,726.76 : 178,049.14 = 34,464.08 : x
  2. Step 2: Convert to fraction form
    118,726.76/178,049.14 = 34,464.08/x
  3. Step 3: Cross multiply
    118,726.76x = 178,049.14 × 34,464.08
  4. Step 4: Simplify right side
    118,726.76x = 6,136,300,163.85
  5. Step 5: Solve for x
    x = 6,136,300,163.85/118,726.76
  6. Step 6: Final answer
    x = 51,684.22

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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.