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Finding the Fourth Proportional to 117,726.40, 176,848.80 and 82,734.40

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Solution

The fourth proportional to 117,726.40, 176,848.80 and 82,734.40 is: 124,283.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,726.40 : 176,848.80 = 82,734.40 : x
  2. Step 2: Convert to fraction form
    117,726.40/176,848.80 = 82,734.40/x
  3. Step 3: Cross multiply
    117,726.40x = 176,848.80 × 82,734.40
  4. Step 4: Simplify right side
    117,726.40x = 14,631,479,358.72
  5. Step 5: Solve for x
    x = 14,631,479,358.72/117,726.40
  6. Step 6: Final answer
    x = 124,283.76

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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.