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Finding the Fourth Proportional to 242,056.62, 363,086.55 and 84,284.55

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Solution

The fourth proportional to 242,056.62, 363,086.55 and 84,284.55 is: 126,427.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,056.62 : 363,086.55 = 84,284.55 : x
  2. Step 2: Convert to fraction form
    242,056.62/363,086.55 = 84,284.55/x
  3. Step 3: Cross multiply
    242,056.62x = 363,086.55 × 84,284.55
  4. Step 4: Simplify right side
    242,056.62x = 30,602,586,477.80
  5. Step 5: Solve for x
    x = 30,602,586,477.80/242,056.62
  6. Step 6: Final answer
    x = 126,427.39

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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.