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Finding the Fourth Proportional to 242,955.82, 364,476.48 and 82,994.14

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Solution

The fourth proportional to 242,955.82, 364,476.48 and 82,994.14 is: 124,505.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,955.82 : 364,476.48 = 82,994.14 : x
  2. Step 2: Convert to fraction form
    242,955.82/364,476.48 = 82,994.14/x
  3. Step 3: Cross multiply
    242,955.82x = 364,476.48 × 82,994.14
  4. Step 4: Simplify right side
    242,955.82x = 30,249,412,007.83
  5. Step 5: Solve for x
    x = 30,249,412,007.83/242,955.82
  6. Step 6: Final answer
    x = 124,505.81

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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.