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Finding the Fourth Proportional to 174,400, 261,602.52 and 49,741

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Solution

The fourth proportional to 174,400, 261,602.52 and 49,741 is: 74,612.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,400 : 261,602.52 = 49,741 : x
  2. Step 2: Convert to fraction form
    174,400/261,602.52 = 49,741/x
  3. Step 3: Cross multiply
    174,400x = 261,602.52 × 49,741
  4. Step 4: Simplify right side
    174,400x = 13,012,370,947.32
  5. Step 5: Solve for x
    x = 13,012,370,947.32/174,400
  6. Step 6: Final answer
    x = 74,612.22

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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.