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Finding the Fourth Proportional to 160,871.49, 221,576.48 and 119,904.33

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Solution

The fourth proportional to 160,871.49, 221,576.48 and 119,904.33 is: 165,150.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,871.49 : 221,576.48 = 119,904.33 : x
  2. Step 2: Convert to fraction form
    160,871.49/221,576.48 = 119,904.33/x
  3. Step 3: Cross multiply
    160,871.49x = 221,576.48 × 119,904.33
  4. Step 4: Simplify right side
    160,871.49x = 26,567,979,378.16
  5. Step 5: Solve for x
    x = 26,567,979,378.16/160,871.49
  6. Step 6: Final answer
    x = 165,150.33

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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.