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Finding the Fourth Proportional to 105,159.20, 157,738.80 and 65,793.20

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Solution

The fourth proportional to 105,159.20, 157,738.80 and 65,793.20 is: 98,689.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,159.20 : 157,738.80 = 65,793.20 : x
  2. Step 2: Convert to fraction form
    105,159.20/157,738.80 = 65,793.20/x
  3. Step 3: Cross multiply
    105,159.20x = 157,738.80 × 65,793.20
  4. Step 4: Simplify right side
    105,159.20x = 10,378,140,416.16
  5. Step 5: Solve for x
    x = 10,378,140,416.16/105,159.20
  6. Step 6: Final answer
    x = 98,689.80

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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.