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Finding the Fourth Proportional to 75,178.54, 103,743.67 and 42,914.82

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Solution

The fourth proportional to 75,178.54, 103,743.67 and 42,914.82 is: 59,220.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,178.54 : 103,743.67 = 42,914.82 : x
  2. Step 2: Convert to fraction form
    75,178.54/103,743.67 = 42,914.82/x
  3. Step 3: Cross multiply
    75,178.54x = 103,743.67 × 42,914.82
  4. Step 4: Simplify right side
    75,178.54x = 4,452,140,924.19
  5. Step 5: Solve for x
    x = 4,452,140,924.19/75,178.54
  6. Step 6: Final answer
    x = 59,220.90

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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.