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Finding the Fourth Proportional to 278,004.64, 383,642.23 and 157,141.68

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Solution

The fourth proportional to 278,004.64, 383,642.23 and 157,141.68 is: 216,853.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,004.64 : 383,642.23 = 157,141.68 : x
  2. Step 2: Convert to fraction form
    278,004.64/383,642.23 = 157,141.68/x
  3. Step 3: Cross multiply
    278,004.64x = 383,642.23 × 157,141.68
  4. Step 4: Simplify right side
    278,004.64x = 60,286,184,541.15
  5. Step 5: Solve for x
    x = 60,286,184,541.15/278,004.64
  6. Step 6: Final answer
    x = 216,853.16

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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.