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Finding the Fourth Proportional to 117,678.76, 176,595.90 and 55,354.12

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Solution

The fourth proportional to 117,678.76, 176,595.90 and 55,354.12 is: 83,067.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,678.76 : 176,595.90 = 55,354.12 : x
  2. Step 2: Convert to fraction form
    117,678.76/176,595.90 = 55,354.12/x
  3. Step 3: Cross multiply
    117,678.76x = 176,595.90 × 55,354.12
  4. Step 4: Simplify right side
    117,678.76x = 9,775,310,640.11
  5. Step 5: Solve for x
    x = 9,775,310,640.11/117,678.76
  6. Step 6: Final answer
    x = 83,067.76

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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.