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Finding the Fourth Proportional to 272,268.42, 408,441.51 and 85,294.50

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Solution

The fourth proportional to 272,268.42, 408,441.51 and 85,294.50 is: 127,953.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,268.42 : 408,441.51 = 85,294.50 : x
  2. Step 2: Convert to fraction form
    272,268.42/408,441.51 = 85,294.50/x
  3. Step 3: Cross multiply
    272,268.42x = 408,441.51 × 85,294.50
  4. Step 4: Simplify right side
    272,268.42x = 34,837,814,374.70
  5. Step 5: Solve for x
    x = 34,837,814,374.70/272,268.42
  6. Step 6: Final answer
    x = 127,953.93

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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.