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Finding the Fourth Proportional to 272,390.42, 408,585.63 and 85,416.50

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Solution

The fourth proportional to 272,390.42, 408,585.63 and 85,416.50 is: 128,124.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,390.42 : 408,585.63 = 85,416.50 : x
  2. Step 2: Convert to fraction form
    272,390.42/408,585.63 = 85,416.50/x
  3. Step 3: Cross multiply
    272,390.42x = 408,585.63 × 85,416.50
  4. Step 4: Simplify right side
    272,390.42x = 34,899,954,464.90
  5. Step 5: Solve for x
    x = 34,899,954,464.90/272,390.42
  6. Step 6: Final answer
    x = 128,124.75

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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.