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Finding the Fourth Proportional to 289,722.22, 399,817.54 and 160,669.78

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Solution

The fourth proportional to 289,722.22, 399,817.54 and 160,669.78 is: 221,724.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,722.22 : 399,817.54 = 160,669.78 : x
  2. Step 2: Convert to fraction form
    289,722.22/399,817.54 = 160,669.78/x
  3. Step 3: Cross multiply
    289,722.22x = 399,817.54 × 160,669.78
  4. Step 4: Simplify right side
    289,722.22x = 64,238,596,191.94
  5. Step 5: Solve for x
    x = 64,238,596,191.94/289,722.22
  6. Step 6: Final answer
    x = 221,724.78

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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.