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Finding the Fourth Proportional to 117,702.94, 176,632.17 and 55,378.30

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Solution

The fourth proportional to 117,702.94, 176,632.17 and 55,378.30 is: 83,104.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,702.94 : 176,632.17 = 55,378.30 : x
  2. Step 2: Convert to fraction form
    117,702.94/176,632.17 = 55,378.30/x
  3. Step 3: Cross multiply
    117,702.94x = 176,632.17 × 55,378.30
  4. Step 4: Simplify right side
    117,702.94x = 9,781,588,650.66
  5. Step 5: Solve for x
    x = 9,781,588,650.66/117,702.94
  6. Step 6: Final answer
    x = 83,104.03

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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.