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Finding the Fourth Proportional to 174,438.10, 261,657.15 and 127,782.10

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Solution

The fourth proportional to 174,438.10, 261,657.15 and 127,782.10 is: 191,673.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,438.10 : 261,657.15 = 127,782.10 : x
  2. Step 2: Convert to fraction form
    174,438.10/261,657.15 = 127,782.10/x
  3. Step 3: Cross multiply
    174,438.10x = 261,657.15 × 127,782.10
  4. Step 4: Simplify right side
    174,438.10x = 33,435,100,107.02
  5. Step 5: Solve for x
    x = 33,435,100,107.02/174,438.10
  6. Step 6: Final answer
    x = 191,673.15

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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.