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Finding the Fourth Proportional to 278,048.00, 383,719.05 and 157,194.38

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Solution

The fourth proportional to 278,048.00, 383,719.05 and 157,194.38 is: 216,935.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,048.00 : 383,719.05 = 157,194.38 : x
  2. Step 2: Convert to fraction form
    278,048.00/383,719.05 = 157,194.38/x
  3. Step 3: Cross multiply
    278,048.00x = 383,719.05 × 157,194.38
  4. Step 4: Simplify right side
    278,048.00x = 60,318,479,118.24
  5. Step 5: Solve for x
    x = 60,318,479,118.24/278,048.00
  6. Step 6: Final answer
    x = 216,935.49

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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.