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Finding the Fourth Proportional to 209,349.53, 313,977.14 and 59,586.50

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Solution

The fourth proportional to 209,349.53, 313,977.14 and 59,586.50 is: 89,366.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,349.53 : 313,977.14 = 59,586.50 : x
  2. Step 2: Convert to fraction form
    209,349.53/313,977.14 = 59,586.50/x
  3. Step 3: Cross multiply
    209,349.53x = 313,977.14 × 59,586.50
  4. Step 4: Simplify right side
    209,349.53x = 18,708,799,395.48
  5. Step 5: Solve for x
    x = 18,708,799,395.48/209,349.53
  6. Step 6: Final answer
    x = 89,366.33

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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.