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Finding the Fourth Proportional to 100,216.61, 138,298.75 and 54,896.50

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Solution

The fourth proportional to 100,216.61, 138,298.75 and 54,896.50 is: 75,757.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,216.61 : 138,298.75 = 54,896.50 : x
  2. Step 2: Convert to fraction form
    100,216.61/138,298.75 = 54,896.50/x
  3. Step 3: Cross multiply
    100,216.61x = 138,298.75 × 54,896.50
  4. Step 4: Simplify right side
    100,216.61x = 7,592,117,329.38
  5. Step 5: Solve for x
    x = 7,592,117,329.38/100,216.61
  6. Step 6: Final answer
    x = 75,757.08

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Why These Related Problems?

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