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Finding the Fourth Proportional to 117,698.67, 176,311.62 and 54,430.11

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Solution

The fourth proportional to 117,698.67, 176,311.62 and 54,430.11 is: 81,535.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,698.67 : 176,311.62 = 54,430.11 : x
  2. Step 2: Convert to fraction form
    117,698.67/176,311.62 = 54,430.11/x
  3. Step 3: Cross multiply
    117,698.67x = 176,311.62 × 54,430.11
  4. Step 4: Simplify right side
    117,698.67x = 9,596,660,870.88
  5. Step 5: Solve for x
    x = 9,596,660,870.88/117,698.67
  6. Step 6: Final answer
    x = 81,535.85

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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.