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Finding the Fourth Proportional to 189,536.76, 284,300.23 and 77,216.79

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Solution

The fourth proportional to 189,536.76, 284,300.23 and 77,216.79 is: 115,823.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,536.76 : 284,300.23 = 77,216.79 : x
  2. Step 2: Convert to fraction form
    189,536.76/284,300.23 = 77,216.79/x
  3. Step 3: Cross multiply
    189,536.76x = 284,300.23 × 77,216.79
  4. Step 4: Simplify right side
    189,536.76x = 21,952,752,174.73
  5. Step 5: Solve for x
    x = 21,952,752,174.73/189,536.76
  6. Step 6: Final answer
    x = 115,823.19

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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.