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Finding the Fourth Proportional to 467,193, 700,906.56 and 134,769

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Solution

The fourth proportional to 467,193, 700,906.56 and 134,769 is: 202,187.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,193 : 700,906.56 = 134,769 : x
  2. Step 2: Convert to fraction form
    467,193/700,906.56 = 134,769/x
  3. Step 3: Cross multiply
    467,193x = 700,906.56 × 134,769
  4. Step 4: Simplify right side
    467,193x = 94,460,476,184.64
  5. Step 5: Solve for x
    x = 94,460,476,184.64/467,193
  6. Step 6: Final answer
    x = 202,187.27

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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.