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Finding the Fourth Proportional to 294,514.60, 442,002.30 and 136,762.60

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Solution

The fourth proportional to 294,514.60, 442,002.30 and 136,762.60 is: 205,250.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,514.60 : 442,002.30 = 136,762.60 : x
  2. Step 2: Convert to fraction form
    294,514.60/442,002.30 = 136,762.60/x
  3. Step 3: Cross multiply
    294,514.60x = 442,002.30 × 136,762.60
  4. Step 4: Simplify right side
    294,514.60x = 60,449,383,753.98
  5. Step 5: Solve for x
    x = 60,449,383,753.98/294,514.60
  6. Step 6: Final answer
    x = 205,250.89

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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.