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Finding the Fourth Proportional to 100,298.28, 138,409.74 and 54,975

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Solution

The fourth proportional to 100,298.28, 138,409.74 and 54,975 is: 75,864.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,298.28 : 138,409.74 = 54,975 : x
  2. Step 2: Convert to fraction form
    100,298.28/138,409.74 = 54,975/x
  3. Step 3: Cross multiply
    100,298.28x = 138,409.74 × 54,975
  4. Step 4: Simplify right side
    100,298.28x = 7,609,075,456.50
  5. Step 5: Solve for x
    x = 7,609,075,456.50/100,298.28
  6. Step 6: Final answer
    x = 75,864.47

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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.