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Finding the Fourth Proportional to 294,711.90, 442,067.85 and 95,038.80

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Solution

The fourth proportional to 294,711.90, 442,067.85 and 95,038.80 is: 142,558.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,711.90 : 442,067.85 = 95,038.80 : x
  2. Step 2: Convert to fraction form
    294,711.90/442,067.85 = 95,038.80/x
  3. Step 3: Cross multiply
    294,711.90x = 442,067.85 × 95,038.80
  4. Step 4: Simplify right side
    294,711.90x = 42,013,597,982.58
  5. Step 5: Solve for x
    x = 42,013,597,982.58/294,711.90
  6. Step 6: Final answer
    x = 142,558.20

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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.