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Finding the Fourth Proportional to 174,012.16, 261,107.52 and 85,264

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Solution

The fourth proportional to 174,012.16, 261,107.52 and 85,264 is: 127,939.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,012.16 : 261,107.52 = 85,264 : x
  2. Step 2: Convert to fraction form
    174,012.16/261,107.52 = 85,264/x
  3. Step 3: Cross multiply
    174,012.16x = 261,107.52 × 85,264
  4. Step 4: Simplify right side
    174,012.16x = 22,263,071,585.28
  5. Step 5: Solve for x
    x = 22,263,071,585.28/174,012.16
  6. Step 6: Final answer
    x = 127,939.75

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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.