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Finding the Fourth Proportional to 562,165.60, 843,196.56 and 188,191.84

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Solution

The fourth proportional to 562,165.60, 843,196.56 and 188,191.84 is: 282,270.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,165.60 : 843,196.56 = 188,191.84 : x
  2. Step 2: Convert to fraction form
    562,165.60/843,196.56 = 188,191.84/x
  3. Step 3: Cross multiply
    562,165.60x = 843,196.56 × 188,191.84
  4. Step 4: Simplify right side
    562,165.60x = 158,682,712,108.07
  5. Step 5: Solve for x
    x = 158,682,712,108.07/562,165.60
  6. Step 6: Final answer
    x = 282,270.41

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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.