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Finding the Fourth Proportional to 263,289.66, 363,338.64 and 142,430.66

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Solution

The fourth proportional to 263,289.66, 363,338.64 and 142,430.66 is: 196,553.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,289.66 : 363,338.64 = 142,430.66 : x
  2. Step 2: Convert to fraction form
    263,289.66/363,338.64 = 142,430.66/x
  3. Step 3: Cross multiply
    263,289.66x = 363,338.64 × 142,430.66
  4. Step 4: Simplify right side
    263,289.66x = 51,750,563,207.05
  5. Step 5: Solve for x
    x = 51,750,563,207.05/263,289.66
  6. Step 6: Final answer
    x = 196,553.72

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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.