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Finding the Fourth Proportional to 263,216.80, 363,239.16 and 142,358.08

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Solution

The fourth proportional to 263,216.80, 363,239.16 and 142,358.08 is: 196,454.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,216.80 : 363,239.16 = 142,358.08 : x
  2. Step 2: Convert to fraction form
    263,216.80/363,239.16 = 142,358.08/x
  3. Step 3: Cross multiply
    263,216.80x = 363,239.16 × 142,358.08
  4. Step 4: Simplify right side
    263,216.80x = 51,710,029,398.41
  5. Step 5: Solve for x
    x = 51,710,029,398.41/263,216.80
  6. Step 6: Final answer
    x = 196,454.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.