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Finding the Fourth Proportional to 160,810.60, 241,014.30 and 81,956.20

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Solution

The fourth proportional to 160,810.60, 241,014.30 and 81,956.20 is: 122,831.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,810.60 : 241,014.30 = 81,956.20 : x
  2. Step 2: Convert to fraction form
    160,810.60/241,014.30 = 81,956.20/x
  3. Step 3: Cross multiply
    160,810.60x = 241,014.30 × 81,956.20
  4. Step 4: Simplify right side
    160,810.60x = 19,752,616,173.66
  5. Step 5: Solve for x
    x = 19,752,616,173.66/160,810.60
  6. Step 6: Final answer
    x = 122,831.56

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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.