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Finding the Fourth Proportional to 292,067.82, 403,073.84 and 163,031.40

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Solution

The fourth proportional to 292,067.82, 403,073.84 and 163,031.40 is: 224,994.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,067.82 : 403,073.84 = 163,031.40 : x
  2. Step 2: Convert to fraction form
    292,067.82/403,073.84 = 163,031.40/x
  3. Step 3: Cross multiply
    292,067.82x = 403,073.84 × 163,031.40
  4. Step 4: Simplify right side
    292,067.82x = 65,713,691,623.42
  5. Step 5: Solve for x
    x = 65,713,691,623.42/292,067.82
  6. Step 6: Final answer
    x = 224,994.63

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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.