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Finding the Fourth Proportional to 117,698.46, 176,448.15 and 51,088.53

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Solution

The fourth proportional to 117,698.46, 176,448.15 and 51,088.53 is: 76,589.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,698.46 : 176,448.15 = 51,088.53 : x
  2. Step 2: Convert to fraction form
    117,698.46/176,448.15 = 51,088.53/x
  3. Step 3: Cross multiply
    117,698.46x = 176,448.15 × 51,088.53
  4. Step 4: Simplify right side
    117,698.46x = 9,014,476,604.72
  5. Step 5: Solve for x
    x = 9,014,476,604.72/117,698.46
  6. Step 6: Final answer
    x = 76,589.59

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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.