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Finding the Fourth Proportional to 227,050.96, 340,572.72 and 77,395.44

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Solution

The fourth proportional to 227,050.96, 340,572.72 and 77,395.44 is: 116,091.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,050.96 : 340,572.72 = 77,395.44 : x
  2. Step 2: Convert to fraction form
    227,050.96/340,572.72 = 77,395.44/x
  3. Step 3: Cross multiply
    227,050.96x = 340,572.72 × 77,395.44
  4. Step 4: Simplify right side
    227,050.96x = 26,358,775,516.40
  5. Step 5: Solve for x
    x = 26,358,775,516.40/227,050.96
  6. Step 6: Final answer
    x = 116,091.89

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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.