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Finding the Fourth Proportional to 100,216.84, 138,301.46 and 57,195.47

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Solution

The fourth proportional to 100,216.84, 138,301.46 and 57,195.47 is: 78,931.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,216.84 : 138,301.46 = 57,195.47 : x
  2. Step 2: Convert to fraction form
    100,216.84/138,301.46 = 57,195.47/x
  3. Step 3: Cross multiply
    100,216.84x = 138,301.46 × 57,195.47
  4. Step 4: Simplify right side
    100,216.84x = 7,910,216,762.02
  5. Step 5: Solve for x
    x = 7,910,216,762.02/100,216.84
  6. Step 6: Final answer
    x = 78,931.02

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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.