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Finding the Fourth Proportional to 340,103.19, 469,342.85 and 189,200.19

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Solution

The fourth proportional to 340,103.19, 469,342.85 and 189,200.19 is: 261,096.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,103.19 : 469,342.85 = 189,200.19 : x
  2. Step 2: Convert to fraction form
    340,103.19/469,342.85 = 189,200.19/x
  3. Step 3: Cross multiply
    340,103.19x = 469,342.85 × 189,200.19
  4. Step 4: Simplify right side
    340,103.19x = 88,799,755,449.14
  5. Step 5: Solve for x
    x = 88,799,755,449.14/340,103.19
  6. Step 6: Final answer
    x = 261,096.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.