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Finding the Fourth Proportional to 232,342.02, 320,821.05 and 189,327.98

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Solution

The fourth proportional to 232,342.02, 320,821.05 and 189,327.98 is: 261,426.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,342.02 : 320,821.05 = 189,327.98 : x
  2. Step 2: Convert to fraction form
    232,342.02/320,821.05 = 189,327.98/x
  3. Step 3: Cross multiply
    232,342.02x = 320,821.05 × 189,327.98
  4. Step 4: Simplify right side
    232,342.02x = 60,740,402,850.01
  5. Step 5: Solve for x
    x = 60,740,402,850.01/232,342.02
  6. Step 6: Final answer
    x = 261,426.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.