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Finding the Fourth Proportional to 232,967.15, 349,393 and 99,832.31

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Solution

The fourth proportional to 232,967.15, 349,393 and 99,832.31 is: 149,723.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,967.15 : 349,393 = 99,832.31 : x
  2. Step 2: Convert to fraction form
    232,967.15/349,393 = 99,832.31/x
  3. Step 3: Cross multiply
    232,967.15x = 349,393 × 99,832.31
  4. Step 4: Simplify right side
    232,967.15x = 34,880,710,287.83
  5. Step 5: Solve for x
    x = 34,880,710,287.83/232,967.15
  6. Step 6: Final answer
    x = 149,723.73

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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.