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Finding the Fourth Proportional to 137,583.08, 206,395.13 and 48,829.16

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Solution

The fourth proportional to 137,583.08, 206,395.13 and 48,829.16 is: 73,251.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,583.08 : 206,395.13 = 48,829.16 : x
  2. Step 2: Convert to fraction form
    137,583.08/206,395.13 = 48,829.16/x
  3. Step 3: Cross multiply
    137,583.08x = 206,395.13 × 48,829.16
  4. Step 4: Simplify right side
    137,583.08x = 10,078,100,165.75
  5. Step 5: Solve for x
    x = 10,078,100,165.75/137,583.08
  6. Step 6: Final answer
    x = 73,251.01

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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.