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Finding the Fourth Proportional to 116,278.50, 174,443.75 and 42,406.50

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Solution

The fourth proportional to 116,278.50, 174,443.75 and 42,406.50 is: 63,619.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,278.50 : 174,443.75 = 42,406.50 : x
  2. Step 2: Convert to fraction form
    116,278.50/174,443.75 = 42,406.50/x
  3. Step 3: Cross multiply
    116,278.50x = 174,443.75 × 42,406.50
  4. Step 4: Simplify right side
    116,278.50x = 7,397,548,884.38
  5. Step 5: Solve for x
    x = 7,397,548,884.38/116,278.50
  6. Step 6: Final answer
    x = 63,619.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.