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Finding the Fourth Proportional to 263,686.49, 363,887.37 and 142,827.82

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Solution

The fourth proportional to 263,686.49, 363,887.37 and 142,827.82 is: 197,102.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,686.49 : 363,887.37 = 142,827.82 : x
  2. Step 2: Convert to fraction form
    263,686.49/363,887.37 = 142,827.82/x
  3. Step 3: Cross multiply
    263,686.49x = 363,887.37 × 142,827.82
  4. Step 4: Simplify right side
    263,686.49x = 51,973,239,782.63
  5. Step 5: Solve for x
    x = 51,973,239,782.63/263,686.49
  6. Step 6: Final answer
    x = 197,102.40

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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.