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Finding the Fourth Proportional to 195,667.74, 270,027.90 and 110,782.98

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Solution

The fourth proportional to 195,667.74, 270,027.90 and 110,782.98 is: 152,884.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,667.74 : 270,027.90 = 110,782.98 : x
  2. Step 2: Convert to fraction form
    195,667.74/270,027.90 = 110,782.98/x
  3. Step 3: Cross multiply
    195,667.74x = 270,027.90 × 110,782.98
  4. Step 4: Simplify right side
    195,667.74x = 29,914,495,445.14
  5. Step 5: Solve for x
    x = 29,914,495,445.14/195,667.74
  6. Step 6: Final answer
    x = 152,884.15

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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.