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Finding the Fourth Proportional to 100,206.36, 138,287.01 and 57,184.98

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Solution

The fourth proportional to 100,206.36, 138,287.01 and 57,184.98 is: 78,916.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,206.36 : 138,287.01 = 57,184.98 : x
  2. Step 2: Convert to fraction form
    100,206.36/138,287.01 = 57,184.98/x
  3. Step 3: Cross multiply
    100,206.36x = 138,287.01 × 57,184.98
  4. Step 4: Simplify right side
    100,206.36x = 7,907,939,901.11
  5. Step 5: Solve for x
    x = 7,907,939,901.11/100,206.36
  6. Step 6: Final answer
    x = 78,916.55

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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.