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Finding the Fourth Proportional to 195,524.96, 293,090.40 and 77,150.40

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Solution

The fourth proportional to 195,524.96, 293,090.40 and 77,150.40 is: 115,647.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,524.96 : 293,090.40 = 77,150.40 : x
  2. Step 2: Convert to fraction form
    195,524.96/293,090.40 = 77,150.40/x
  3. Step 3: Cross multiply
    195,524.96x = 293,090.40 × 77,150.40
  4. Step 4: Simplify right side
    195,524.96x = 22,612,041,596.16
  5. Step 5: Solve for x
    x = 22,612,041,596.16/195,524.96
  6. Step 6: Final answer
    x = 115,647.85

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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.