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Finding the Fourth Proportional to 100,347.80, 138,478.82 and 57,905.42

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Solution

The fourth proportional to 100,347.80, 138,478.82 and 57,905.42 is: 79,908.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,347.80 : 138,478.82 = 57,905.42 : x
  2. Step 2: Convert to fraction form
    100,347.80/138,478.82 = 57,905.42/x
  3. Step 3: Cross multiply
    100,347.80x = 138,478.82 × 57,905.42
  4. Step 4: Simplify right side
    100,347.80x = 8,018,673,251.28
  5. Step 5: Solve for x
    x = 8,018,673,251.28/100,347.80
  6. Step 6: Final answer
    x = 79,908.81

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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.