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Finding the Fourth Proportional to 242,833.04, 364,249.56 and 76,634

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Solution

The fourth proportional to 242,833.04, 364,249.56 and 76,634 is: 114,951

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,833.04 : 364,249.56 = 76,634 : x
  2. Step 2: Convert to fraction form
    242,833.04/364,249.56 = 76,634/x
  3. Step 3: Cross multiply
    242,833.04x = 364,249.56 × 76,634
  4. Step 4: Simplify right side
    242,833.04x = 27,913,900,781.04
  5. Step 5: Solve for x
    x = 27,913,900,781.04/242,833.04
  6. Step 6: Final answer
    x = 114,951

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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.