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Finding the Fourth Proportional to 467,190, 700,902.05 and 134,766

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Solution

The fourth proportional to 467,190, 700,902.05 and 134,766 is: 202,182.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,190 : 700,902.05 = 134,766 : x
  2. Step 2: Convert to fraction form
    467,190/700,902.05 = 134,766/x
  3. Step 3: Cross multiply
    467,190x = 700,902.05 × 134,766
  4. Step 4: Simplify right side
    467,190x = 94,457,764,996.47
  5. Step 5: Solve for x
    x = 94,457,764,996.47/467,190
  6. Step 6: Final answer
    x = 202,182.76

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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.