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Finding the Fourth Proportional to 242,634.24, 334,864.32 and 142,032

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Solution

The fourth proportional to 242,634.24, 334,864.32 and 142,032 is: 196,021.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,634.24 : 334,864.32 = 142,032 : x
  2. Step 2: Convert to fraction form
    242,634.24/334,864.32 = 142,032/x
  3. Step 3: Cross multiply
    242,634.24x = 334,864.32 × 142,032
  4. Step 4: Simplify right side
    242,634.24x = 47,561,449,098.24
  5. Step 5: Solve for x
    x = 47,561,449,098.24/242,634.24
  6. Step 6: Final answer
    x = 196,021.18

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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.