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Finding the Fourth Proportional to 156,243, 234,404.46 and 45,435

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Solution

The fourth proportional to 156,243, 234,404.46 and 45,435 is: 68,164.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,243 : 234,404.46 = 45,435 : x
  2. Step 2: Convert to fraction form
    156,243/234,404.46 = 45,435/x
  3. Step 3: Cross multiply
    156,243x = 234,404.46 × 45,435
  4. Step 4: Simplify right side
    156,243x = 10,650,166,640.10
  5. Step 5: Solve for x
    x = 10,650,166,640.10/156,243
  6. Step 6: Final answer
    x = 68,164.12

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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.