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Finding the Fourth Proportional to 207,384.20, 310,820.30 and 140,824.20

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Solution

The fourth proportional to 207,384.20, 310,820.30 and 140,824.20 is: 211,062.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,384.20 : 310,820.30 = 140,824.20 : x
  2. Step 2: Convert to fraction form
    207,384.20/310,820.30 = 140,824.20/x
  3. Step 3: Cross multiply
    207,384.20x = 310,820.30 × 140,824.20
  4. Step 4: Simplify right side
    207,384.20x = 43,771,020,091.26
  5. Step 5: Solve for x
    x = 43,771,020,091.26/207,384.20
  6. Step 6: Final answer
    x = 211,062.46

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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.