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Finding the Fourth Proportional to 258,099, 356,233.50 and 143,416.98

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Solution

The fourth proportional to 258,099, 356,233.50 and 143,416.98 is: 197,947.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,099 : 356,233.50 = 143,416.98 : x
  2. Step 2: Convert to fraction form
    258,099/356,233.50 = 143,416.98/x
  3. Step 3: Cross multiply
    258,099x = 356,233.50 × 143,416.98
  4. Step 4: Simplify right side
    258,099x = 51,089,932,744.83
  5. Step 5: Solve for x
    x = 51,089,932,744.83/258,099
  6. Step 6: Final answer
    x = 197,947.04

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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.