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Finding the Fourth Proportional to 227,065.92, 340,595.20 and 77,410.48

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Solution

The fourth proportional to 227,065.92, 340,595.20 and 77,410.48 is: 116,114.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,065.92 : 340,595.20 = 77,410.48 : x
  2. Step 2: Convert to fraction form
    227,065.92/340,595.20 = 77,410.48/x
  3. Step 3: Cross multiply
    227,065.92x = 340,595.20 × 77,410.48
  4. Step 4: Simplify right side
    227,065.92x = 26,365,637,917.70
  5. Step 5: Solve for x
    x = 26,365,637,917.70/227,065.92
  6. Step 6: Final answer
    x = 116,114.47

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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.