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Finding the Fourth Proportional to 100,259.14, 138,348.42 and 57,809.48

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Solution

The fourth proportional to 100,259.14, 138,348.42 and 57,809.48 is: 79,771.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,259.14 : 138,348.42 = 57,809.48 : x
  2. Step 2: Convert to fraction form
    100,259.14/138,348.42 = 57,809.48/x
  3. Step 3: Cross multiply
    100,259.14x = 138,348.42 × 57,809.48
  4. Step 4: Simplify right side
    100,259.14x = 7,997,850,219.02
  5. Step 5: Solve for x
    x = 7,997,850,219.02/100,259.14
  6. Step 6: Final answer
    x = 79,771.78

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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.