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Finding the Fourth Proportional to 227,112.46, 340,721.39 and 77,354.05

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Solution

The fourth proportional to 227,112.46, 340,721.39 and 77,354.05 is: 116,049.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,112.46 : 340,721.39 = 77,354.05 : x
  2. Step 2: Convert to fraction form
    227,112.46/340,721.39 = 77,354.05/x
  3. Step 3: Cross multiply
    227,112.46x = 340,721.39 × 77,354.05
  4. Step 4: Simplify right side
    227,112.46x = 26,356,178,779.71
  5. Step 5: Solve for x
    x = 26,356,178,779.71/227,112.46
  6. Step 6: Final answer
    x = 116,049.02

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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.