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Finding the Fourth Proportional to 263,158.68, 363,158.70 and 142,299.66

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Solution

The fourth proportional to 263,158.68, 363,158.70 and 142,299.66 is: 196,373.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,158.68 : 363,158.70 = 142,299.66 : x
  2. Step 2: Convert to fraction form
    263,158.68/363,158.70 = 142,299.66/x
  3. Step 3: Cross multiply
    263,158.68x = 363,158.70 × 142,299.66
  4. Step 4: Simplify right side
    263,158.68x = 51,677,359,536.04
  5. Step 5: Solve for x
    x = 51,677,359,536.04/263,158.68
  6. Step 6: Final answer
    x = 196,373.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.