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Finding the Fourth Proportional to 115,970.28, 173,928.14 and 65,391.04

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Solution

The fourth proportional to 115,970.28, 173,928.14 and 65,391.04 is: 98,071.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,970.28 : 173,928.14 = 65,391.04 : x
  2. Step 2: Convert to fraction form
    115,970.28/173,928.14 = 65,391.04/x
  3. Step 3: Cross multiply
    115,970.28x = 173,928.14 × 65,391.04
  4. Step 4: Simplify right side
    115,970.28x = 11,373,341,959.87
  5. Step 5: Solve for x
    x = 11,373,341,959.87/115,970.28
  6. Step 6: Final answer
    x = 98,071.18

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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.