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Finding the Fourth Proportional to 105,097.20, 157,645.80 and 65,731.20

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Solution

The fourth proportional to 105,097.20, 157,645.80 and 65,731.20 is: 98,596.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,097.20 : 157,645.80 = 65,731.20 : x
  2. Step 2: Convert to fraction form
    105,097.20/157,645.80 = 65,731.20/x
  3. Step 3: Cross multiply
    105,097.20x = 157,645.80 × 65,731.20
  4. Step 4: Simplify right side
    105,097.20x = 10,362,247,608.96
  5. Step 5: Solve for x
    x = 10,362,247,608.96/105,097.20
  6. Step 6: Final answer
    x = 98,596.80

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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.