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Finding the Fourth Proportional to 116,896.40, 175,229.40 and 57,741.20

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Solution

The fourth proportional to 116,896.40, 175,229.40 and 57,741.20 is: 86,554.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,896.40 : 175,229.40 = 57,741.20 : x
  2. Step 2: Convert to fraction form
    116,896.40/175,229.40 = 57,741.20/x
  3. Step 3: Cross multiply
    116,896.40x = 175,229.40 × 57,741.20
  4. Step 4: Simplify right side
    116,896.40x = 10,117,955,831.28
  5. Step 5: Solve for x
    x = 10,117,955,831.28/116,896.40
  6. Step 6: Final answer
    x = 86,554.90

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Why These Related Problems?

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