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Finding the Fourth Proportional to 207,354.40, 311,031.60 and 82,784.80

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Solution

The fourth proportional to 207,354.40, 311,031.60 and 82,784.80 is: 124,177.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,354.40 : 311,031.60 = 82,784.80 : x
  2. Step 2: Convert to fraction form
    207,354.40/311,031.60 = 82,784.80/x
  3. Step 3: Cross multiply
    207,354.40x = 311,031.60 × 82,784.80
  4. Step 4: Simplify right side
    207,354.40x = 25,748,688,799.68
  5. Step 5: Solve for x
    x = 25,748,688,799.68/207,354.40
  6. Step 6: Final answer
    x = 124,177.20

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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.