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Finding the Fourth Proportional to 195,978.12, 293,935.68 and 53,790.20

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Solution

The fourth proportional to 195,978.12, 293,935.68 and 53,790.20 is: 80,676.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,978.12 : 293,935.68 = 53,790.20 : x
  2. Step 2: Convert to fraction form
    195,978.12/293,935.68 = 53,790.20/x
  3. Step 3: Cross multiply
    195,978.12x = 293,935.68 × 53,790.20
  4. Step 4: Simplify right side
    195,978.12x = 15,810,859,014.34
  5. Step 5: Solve for x
    x = 15,810,859,014.34/195,978.12
  6. Step 6: Final answer
    x = 80,676.65

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1.5x scale

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.