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Finding the Fourth Proportional to 182,884.69, 274,443.68 and 77,703.69

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Solution

The fourth proportional to 182,884.69, 274,443.68 and 77,703.69 is: 116,605.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,884.69 : 274,443.68 = 77,703.69 : x
  2. Step 2: Convert to fraction form
    182,884.69/274,443.68 = 77,703.69/x
  3. Step 3: Cross multiply
    182,884.69x = 274,443.68 × 77,703.69
  4. Step 4: Simplify right side
    182,884.69x = 21,325,286,633.18
  5. Step 5: Solve for x
    x = 21,325,286,633.18/182,884.69
  6. Step 6: Final answer
    x = 116,605.09

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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.