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Finding the Fourth Proportional to 242,676.90, 364,404.15 and 164,139.30

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Solution

The fourth proportional to 242,676.90, 364,404.15 and 164,139.30 is: 246,471.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,676.90 : 364,404.15 = 164,139.30 : x
  2. Step 2: Convert to fraction form
    242,676.90/364,404.15 = 164,139.30/x
  3. Step 3: Cross multiply
    242,676.90x = 364,404.15 × 164,139.30
  4. Step 4: Simplify right side
    242,676.90x = 59,813,042,098.10
  5. Step 5: Solve for x
    x = 59,813,042,098.10/242,676.90
  6. Step 6: Final answer
    x = 246,471.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.