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Finding the Fourth Proportional to 160,964.36, 241,489.48 and 55,783.24

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Solution

The fourth proportional to 160,964.36, 241,489.48 and 55,783.24 is: 83,689.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,964.36 : 241,489.48 = 55,783.24 : x
  2. Step 2: Convert to fraction form
    160,964.36/241,489.48 = 55,783.24/x
  3. Step 3: Cross multiply
    160,964.36x = 241,489.48 × 55,783.24
  4. Step 4: Simplify right side
    160,964.36x = 13,471,065,620.32
  5. Step 5: Solve for x
    x = 13,471,065,620.32/160,964.36
  6. Step 6: Final answer
    x = 83,689.74

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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.