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Finding the Fourth Proportional to 138,924.64, 208,263.36 and 50,158.40

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Solution

The fourth proportional to 138,924.64, 208,263.36 and 50,158.40 is: 75,192.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,924.64 : 208,263.36 = 50,158.40 : x
  2. Step 2: Convert to fraction form
    138,924.64/208,263.36 = 50,158.40/x
  3. Step 3: Cross multiply
    138,924.64x = 208,263.36 × 50,158.40
  4. Step 4: Simplify right side
    138,924.64x = 10,446,156,916.22
  5. Step 5: Solve for x
    x = 10,446,156,916.22/138,924.64
  6. Step 6: Final answer
    x = 75,192.97

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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.