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Finding the Fourth Proportional to 100,172.90, 138,242.33 and 57,159.39

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Solution

The fourth proportional to 100,172.90, 138,242.33 and 57,159.39 is: 78,882.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,172.90 : 138,242.33 = 57,159.39 : x
  2. Step 2: Convert to fraction form
    100,172.90/138,242.33 = 57,159.39/x
  3. Step 3: Cross multiply
    100,172.90x = 138,242.33 × 57,159.39
  4. Step 4: Simplify right side
    100,172.90x = 7,901,846,969.18
  5. Step 5: Solve for x
    x = 7,901,846,969.18/100,172.90
  6. Step 6: Final answer
    x = 78,882.08

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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.