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Finding the Fourth Proportional to 562,104, 843,093.90 and 141,380.04

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Solution

The fourth proportional to 562,104, 843,093.90 and 141,380.04 is: 212,054.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,104 : 843,093.90 = 141,380.04 : x
  2. Step 2: Convert to fraction form
    562,104/843,093.90 = 141,380.04/x
  3. Step 3: Cross multiply
    562,104x = 843,093.90 × 141,380.04
  4. Step 4: Simplify right side
    562,104x = 119,196,649,305.76
  5. Step 5: Solve for x
    x = 119,196,649,305.76/562,104
  6. Step 6: Final answer
    x = 212,054.44

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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.