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Finding the Fourth Proportional to 209,216.52, 313,869.24 and 59,502.60

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Solution

The fourth proportional to 209,216.52, 313,869.24 and 59,502.60 is: 89,266.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,216.52 : 313,869.24 = 59,502.60 : x
  2. Step 2: Convert to fraction form
    209,216.52/313,869.24 = 59,502.60/x
  3. Step 3: Cross multiply
    209,216.52x = 313,869.24 × 59,502.60
  4. Step 4: Simplify right side
    209,216.52x = 18,676,035,840.02
  5. Step 5: Solve for x
    x = 18,676,035,840.02/209,216.52
  6. Step 6: Final answer
    x = 89,266.54

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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.