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Finding the Fourth Proportional to 117,678.75, 176,595.90 and 55,354.11

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Solution

The fourth proportional to 117,678.75, 176,595.90 and 55,354.11 is: 83,067.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,678.75 : 176,595.90 = 55,354.11 : x
  2. Step 2: Convert to fraction form
    117,678.75/176,595.90 = 55,354.11/x
  3. Step 3: Cross multiply
    117,678.75x = 176,595.90 × 55,354.11
  4. Step 4: Simplify right side
    117,678.75x = 9,775,308,874.15
  5. Step 5: Solve for x
    x = 9,775,308,874.15/117,678.75
  6. Step 6: Final answer
    x = 83,067.75

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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.