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Finding the Fourth Proportional to 160,217.64, 221,099.14 and 89,561.64

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Solution

The fourth proportional to 160,217.64, 221,099.14 and 89,561.64 is: 123,594.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,217.64 : 221,099.14 = 89,561.64 : x
  2. Step 2: Convert to fraction form
    160,217.64/221,099.14 = 89,561.64/x
  3. Step 3: Cross multiply
    160,217.64x = 221,099.14 × 89,561.64
  4. Step 4: Simplify right side
    160,217.64x = 19,802,001,580.99
  5. Step 5: Solve for x
    x = 19,802,001,580.99/160,217.64
  6. Step 6: Final answer
    x = 123,594.39

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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.