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Finding the Fourth Proportional to 562,098.54, 843,140.02 and 135,630.81

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Solution

The fourth proportional to 562,098.54, 843,140.02 and 135,630.81 is: 203,444.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,098.54 : 843,140.02 = 135,630.81 : x
  2. Step 2: Convert to fraction form
    562,098.54/843,140.02 = 135,630.81/x
  3. Step 3: Cross multiply
    562,098.54x = 843,140.02 × 135,630.81
  4. Step 4: Simplify right side
    562,098.54x = 114,355,764,025.56
  5. Step 5: Solve for x
    x = 114,355,764,025.56/562,098.54
  6. Step 6: Final answer
    x = 203,444.33

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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.