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Finding the Fourth Proportional to 160,684.79, 221,741.42 and 89,064.18

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Solution

The fourth proportional to 160,684.79, 221,741.42 and 89,064.18 is: 122,906.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,684.79 : 221,741.42 = 89,064.18 : x
  2. Step 2: Convert to fraction form
    160,684.79/221,741.42 = 89,064.18/x
  3. Step 3: Cross multiply
    160,684.79x = 221,741.42 × 89,064.18
  4. Step 4: Simplify right side
    160,684.79x = 19,749,217,299.01
  5. Step 5: Solve for x
    x = 19,749,217,299.01/160,684.79
  6. Step 6: Final answer
    x = 122,906.58

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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.