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Finding the Fourth Proportional to 225,812.70, 338,719.05 and 92,648.70

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Solution

The fourth proportional to 225,812.70, 338,719.05 and 92,648.70 is: 138,973.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,812.70 : 338,719.05 = 92,648.70 : x
  2. Step 2: Convert to fraction form
    225,812.70/338,719.05 = 92,648.70/x
  3. Step 3: Cross multiply
    225,812.70x = 338,719.05 × 92,648.70
  4. Step 4: Simplify right side
    225,812.70x = 31,381,879,647.74
  5. Step 5: Solve for x
    x = 31,381,879,647.74/225,812.70
  6. Step 6: Final answer
    x = 138,973.05

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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.