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Finding the Fourth Proportional to 326,106.52, 450,031.65 and 197,027.08

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Solution

The fourth proportional to 326,106.52, 450,031.65 and 197,027.08 is: 271,900.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,106.52 : 450,031.65 = 197,027.08 : x
  2. Step 2: Convert to fraction form
    326,106.52/450,031.65 = 197,027.08/x
  3. Step 3: Cross multiply
    326,106.52x = 450,031.65 × 197,027.08
  4. Step 4: Simplify right side
    326,106.52x = 88,668,420,043.15
  5. Step 5: Solve for x
    x = 88,668,420,043.15/326,106.52
  6. Step 6: Final answer
    x = 271,900.18

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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.