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Finding the Fourth Proportional to 195,506.60, 293,201.40 and 101,961.32

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Solution

The fourth proportional to 195,506.60, 293,201.40 and 101,961.32 is: 152,911.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,506.60 : 293,201.40 = 101,961.32 : x
  2. Step 2: Convert to fraction form
    195,506.60/293,201.40 = 101,961.32/x
  3. Step 3: Cross multiply
    195,506.60x = 293,201.40 × 101,961.32
  4. Step 4: Simplify right side
    195,506.60x = 29,895,201,769.85
  5. Step 5: Solve for x
    x = 29,895,201,769.85/195,506.60
  6. Step 6: Final answer
    x = 152,911.47

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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.