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Finding the Fourth Proportional to 195,761.60, 293,642.40 and 161,201.60

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Solution

The fourth proportional to 195,761.60, 293,642.40 and 161,201.60 is: 241,802.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,761.60 : 293,642.40 = 161,201.60 : x
  2. Step 2: Convert to fraction form
    195,761.60/293,642.40 = 161,201.60/x
  3. Step 3: Cross multiply
    195,761.60x = 293,642.40 × 161,201.60
  4. Step 4: Simplify right side
    195,761.60x = 47,335,624,707.84
  5. Step 5: Solve for x
    x = 47,335,624,707.84/195,761.60
  6. Step 6: Final answer
    x = 241,802.40

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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.