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Finding the Fourth Proportional to 189,564.33, 284,345.67 and 77,219.49

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Solution

The fourth proportional to 189,564.33, 284,345.67 and 77,219.49 is: 115,828.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,564.33 : 284,345.67 = 77,219.49 : x
  2. Step 2: Convert to fraction form
    189,564.33/284,345.67 = 77,219.49/x
  3. Step 3: Cross multiply
    189,564.33x = 284,345.67 × 77,219.49
  4. Step 4: Simplify right side
    189,564.33x = 21,957,027,621.11
  5. Step 5: Solve for x
    x = 21,957,027,621.11/189,564.33
  6. Step 6: Final answer
    x = 115,828.90

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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.