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Finding the Fourth Proportional to 117,726.56, 176,534.40 and 42,794

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Solution

The fourth proportional to 117,726.56, 176,534.40 and 42,794 is: 64,170.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,726.56 : 176,534.40 = 42,794 : x
  2. Step 2: Convert to fraction form
    117,726.56/176,534.40 = 42,794/x
  3. Step 3: Cross multiply
    117,726.56x = 176,534.40 × 42,794
  4. Step 4: Simplify right side
    117,726.56x = 7,554,613,113.60
  5. Step 5: Solve for x
    x = 7,554,613,113.60/117,726.56
  6. Step 6: Final answer
    x = 64,170.85

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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.