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Finding the Fourth Proportional to 103,697.64, 155,420.37 and 56,200.10

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Solution

The fourth proportional to 103,697.64, 155,420.37 and 56,200.10 is: 84,231.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,697.64 : 155,420.37 = 56,200.10 : x
  2. Step 2: Convert to fraction form
    103,697.64/155,420.37 = 56,200.10/x
  3. Step 3: Cross multiply
    103,697.64x = 155,420.37 × 56,200.10
  4. Step 4: Simplify right side
    103,697.64x = 8,734,639,558.94
  5. Step 5: Solve for x
    x = 8,734,639,558.94/103,697.64
  6. Step 6: Final answer
    x = 84,231.81

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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.