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Finding the Fourth Proportional to 278,031.70, 383,524.89 and 164,813.14

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Solution

The fourth proportional to 278,031.70, 383,524.89 and 164,813.14 is: 227,347.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,031.70 : 383,524.89 = 164,813.14 : x
  2. Step 2: Convert to fraction form
    278,031.70/383,524.89 = 164,813.14/x
  3. Step 3: Cross multiply
    278,031.70x = 383,524.89 × 164,813.14
  4. Step 4: Simplify right side
    278,031.70x = 63,209,941,389.05
  5. Step 5: Solve for x
    x = 63,209,941,389.05/278,031.70
  6. Step 6: Final answer
    x = 227,347.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.