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Finding the Fourth Proportional to 278,178.12, 383,885.90 and 150,853.68

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Solution

The fourth proportional to 278,178.12, 383,885.90 and 150,853.68 is: 208,178.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,178.12 : 383,885.90 = 150,853.68 : x
  2. Step 2: Convert to fraction form
    278,178.12/383,885.90 = 150,853.68/x
  3. Step 3: Cross multiply
    278,178.12x = 383,885.90 × 150,853.68
  4. Step 4: Simplify right side
    278,178.12x = 57,910,600,715.11
  5. Step 5: Solve for x
    x = 57,910,600,715.11/278,178.12
  6. Step 6: Final answer
    x = 208,178.13

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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.