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Finding the Fourth Proportional to 117,776.88, 176,565.48 and 51,166.80

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Solution

The fourth proportional to 117,776.88, 176,565.48 and 51,166.80 is: 76,706.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,776.88 : 176,565.48 = 51,166.80 : x
  2. Step 2: Convert to fraction form
    117,776.88/176,565.48 = 51,166.80/x
  3. Step 3: Cross multiply
    117,776.88x = 176,565.48 × 51,166.80
  4. Step 4: Simplify right side
    117,776.88x = 9,034,290,602.06
  5. Step 5: Solve for x
    x = 9,034,290,602.06/117,776.88
  6. Step 6: Final answer
    x = 76,706.83

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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.