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Finding the Fourth Proportional to 223,018.60, 334,074.30 and 138,519.40

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Solution

The fourth proportional to 223,018.60, 334,074.30 and 138,519.40 is: 207,497.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,018.60 : 334,074.30 = 138,519.40 : x
  2. Step 2: Convert to fraction form
    223,018.60/334,074.30 = 138,519.40/x
  3. Step 3: Cross multiply
    223,018.60x = 334,074.30 × 138,519.40
  4. Step 4: Simplify right side
    223,018.60x = 46,275,771,591.42
  5. Step 5: Solve for x
    x = 46,275,771,591.42/223,018.60
  6. Step 6: Final answer
    x = 207,497.36

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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.