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Finding the Fourth Proportional to 289,721.21, 399,795.14 and 160,666.34

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Solution

The fourth proportional to 289,721.21, 399,795.14 and 160,666.34 is: 221,708.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,721.21 : 399,795.14 = 160,666.34 : x
  2. Step 2: Convert to fraction form
    289,721.21/399,795.14 = 160,666.34/x
  3. Step 3: Cross multiply
    289,721.21x = 399,795.14 × 160,666.34
  4. Step 4: Simplify right side
    289,721.21x = 64,233,620,296.28
  5. Step 5: Solve for x
    x = 64,233,620,296.28/289,721.21
  6. Step 6: Final answer
    x = 221,708.38

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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.