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Finding the Fourth Proportional to 117,820.81, 176,824.77 and 61,678.09

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Solution

The fourth proportional to 117,820.81, 176,824.77 and 61,678.09 is: 92,566.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,820.81 : 176,824.77 = 61,678.09 : x
  2. Step 2: Convert to fraction form
    117,820.81/176,824.77 = 61,678.09/x
  3. Step 3: Cross multiply
    117,820.81x = 176,824.77 × 61,678.09
  4. Step 4: Simplify right side
    117,820.81x = 10,906,214,078.29
  5. Step 5: Solve for x
    x = 10,906,214,078.29/117,820.81
  6. Step 6: Final answer
    x = 92,566.11

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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.