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Finding the Fourth Proportional to 310,073.20, 465,109.80 and 110,618.80

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Solution

The fourth proportional to 310,073.20, 465,109.80 and 110,618.80 is: 165,928.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,073.20 : 465,109.80 = 110,618.80 : x
  2. Step 2: Convert to fraction form
    310,073.20/465,109.80 = 110,618.80/x
  3. Step 3: Cross multiply
    310,073.20x = 465,109.80 × 110,618.80
  4. Step 4: Simplify right side
    310,073.20x = 51,449,887,944.24
  5. Step 5: Solve for x
    x = 51,449,887,944.24/310,073.20
  6. Step 6: Final answer
    x = 165,928.20

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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.