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Finding the Fourth Proportional to 142,046.46, 213,103.05 and 42,207.42

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Solution

The fourth proportional to 142,046.46, 213,103.05 and 42,207.42 is: 63,321.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,046.46 : 213,103.05 = 42,207.42 : x
  2. Step 2: Convert to fraction form
    142,046.46/213,103.05 = 42,207.42/x
  3. Step 3: Cross multiply
    142,046.46x = 213,103.05 × 42,207.42
  4. Step 4: Simplify right side
    142,046.46x = 8,994,529,934.63
  5. Step 5: Solve for x
    x = 8,994,529,934.63/142,046.46
  6. Step 6: Final answer
    x = 63,321.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.