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Finding the Fourth Proportional to 174,259.30, 261,416.31 and 74,420.02

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Solution

The fourth proportional to 174,259.30, 261,416.31 and 74,420.02 is: 111,641.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,259.30 : 261,416.31 = 74,420.02 : x
  2. Step 2: Convert to fraction form
    174,259.30/261,416.31 = 74,420.02/x
  3. Step 3: Cross multiply
    174,259.30x = 261,416.31 × 74,420.02
  4. Step 4: Simplify right side
    174,259.30x = 19,454,606,014.37
  5. Step 5: Solve for x
    x = 19,454,606,014.37/174,259.30
  6. Step 6: Final answer
    x = 111,641.71

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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.