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Finding the Fourth Proportional to 562,100.70, 843,143.23 and 135,632.97

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Solution

The fourth proportional to 562,100.70, 843,143.23 and 135,632.97 is: 203,447.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,100.70 : 843,143.23 = 135,632.97 : x
  2. Step 2: Convert to fraction form
    562,100.70/843,143.23 = 135,632.97/x
  3. Step 3: Cross multiply
    562,100.70x = 843,143.23 × 135,632.97
  4. Step 4: Simplify right side
    562,100.70x = 114,358,020,420.29
  5. Step 5: Solve for x
    x = 114,358,020,420.29/562,100.70
  6. Step 6: Final answer
    x = 203,447.57

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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.