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Finding the Fourth Proportional to 229,585.52, 344,403.39 and 77,892.12

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Solution

The fourth proportional to 229,585.52, 344,403.39 and 77,892.12 is: 116,846.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,585.52 : 344,403.39 = 77,892.12 : x
  2. Step 2: Convert to fraction form
    229,585.52/344,403.39 = 77,892.12/x
  3. Step 3: Cross multiply
    229,585.52x = 344,403.39 × 77,892.12
  4. Step 4: Simplify right side
    229,585.52x = 26,826,311,443.02
  5. Step 5: Solve for x
    x = 26,826,311,443.02/229,585.52
  6. Step 6: Final answer
    x = 116,846.71

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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.