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Finding the Fourth Proportional to 289,090.29, 398,868.93 and 166,552.68

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Solution

The fourth proportional to 289,090.29, 398,868.93 and 166,552.68 is: 229,799.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,090.29 : 398,868.93 = 166,552.68 : x
  2. Step 2: Convert to fraction form
    289,090.29/398,868.93 = 166,552.68/x
  3. Step 3: Cross multiply
    289,090.29x = 398,868.93 × 166,552.68
  4. Step 4: Simplify right side
    289,090.29x = 66,432,689,260.23
  5. Step 5: Solve for x
    x = 66,432,689,260.23/289,090.29
  6. Step 6: Final answer
    x = 229,799.10

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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.