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Finding the Fourth Proportional to 310,492.20, 465,738.30 and 111,037.80

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Solution

The fourth proportional to 310,492.20, 465,738.30 and 111,037.80 is: 166,556.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,492.20 : 465,738.30 = 111,037.80 : x
  2. Step 2: Convert to fraction form
    310,492.20/465,738.30 = 111,037.80/x
  3. Step 3: Cross multiply
    310,492.20x = 465,738.30 × 111,037.80
  4. Step 4: Simplify right side
    310,492.20x = 51,714,556,207.74
  5. Step 5: Solve for x
    x = 51,714,556,207.74/310,492.20
  6. Step 6: Final answer
    x = 166,556.70

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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.