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Finding the Fourth Proportional to 278,004.63, 383,642.24 and 157,141.68

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Solution

The fourth proportional to 278,004.63, 383,642.24 and 157,141.68 is: 216,853.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,004.63 : 383,642.24 = 157,141.68 : x
  2. Step 2: Convert to fraction form
    278,004.63/383,642.24 = 157,141.68/x
  3. Step 3: Cross multiply
    278,004.63x = 383,642.24 × 157,141.68
  4. Step 4: Simplify right side
    278,004.63x = 60,286,186,112.56
  5. Step 5: Solve for x
    x = 60,286,186,112.56/278,004.63
  6. Step 6: Final answer
    x = 216,853.17

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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.