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Finding the Fourth Proportional to 263,295.63, 363,348.86 and 142,437.42

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Solution

The fourth proportional to 263,295.63, 363,348.86 and 142,437.42 is: 196,564.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,295.63 : 363,348.86 = 142,437.42 : x
  2. Step 2: Convert to fraction form
    263,295.63/363,348.86 = 142,437.42/x
  3. Step 3: Cross multiply
    263,295.63x = 363,348.86 × 142,437.42
  4. Step 4: Simplify right side
    263,295.63x = 51,754,473,466.15
  5. Step 5: Solve for x
    x = 51,754,473,466.15/263,295.63
  6. Step 6: Final answer
    x = 196,564.12

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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.