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Finding the Fourth Proportional to 289,154.33, 398,985.36 and 181,648.22

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Solution

The fourth proportional to 289,154.33, 398,985.36 and 181,648.22 is: 250,644.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,154.33 : 398,985.36 = 181,648.22 : x
  2. Step 2: Convert to fraction form
    289,154.33/398,985.36 = 181,648.22/x
  3. Step 3: Cross multiply
    289,154.33x = 398,985.36 × 181,648.22
  4. Step 4: Simplify right side
    289,154.33x = 72,474,980,450.06
  5. Step 5: Solve for x
    x = 72,474,980,450.06/289,154.33
  6. Step 6: Final answer
    x = 250,644.63

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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.