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Finding the Fourth Proportional to 100,093.68, 138,123.32 and 54,762.63

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Solution

The fourth proportional to 100,093.68, 138,123.32 and 54,762.63 is: 75,569.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,093.68 : 138,123.32 = 54,762.63 : x
  2. Step 2: Convert to fraction form
    100,093.68/138,123.32 = 54,762.63/x
  3. Step 3: Cross multiply
    100,093.68x = 138,123.32 × 54,762.63
  4. Step 4: Simplify right side
    100,093.68x = 7,563,995,993.72
  5. Step 5: Solve for x
    x = 7,563,995,993.72/100,093.68
  6. Step 6: Final answer
    x = 75,569.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.