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Finding the Fourth Proportional to 117,884.16, 176,855.40 and 55,540.08

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Solution

The fourth proportional to 117,884.16, 176,855.40 and 55,540.08 is: 83,323.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,884.16 : 176,855.40 = 55,540.08 : x
  2. Step 2: Convert to fraction form
    117,884.16/176,855.40 = 55,540.08/x
  3. Step 3: Cross multiply
    117,884.16x = 176,855.40 × 55,540.08
  4. Step 4: Simplify right side
    117,884.16x = 9,822,563,064.43
  5. Step 5: Solve for x
    x = 9,822,563,064.43/117,884.16
  6. Step 6: Final answer
    x = 83,323.86

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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.