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Finding the Fourth Proportional to 263,302.36, 363,356.76 and 142,443.76

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Solution

The fourth proportional to 263,302.36, 363,356.76 and 142,443.76 is: 196,572.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,302.36 : 363,356.76 = 142,443.76 : x
  2. Step 2: Convert to fraction form
    263,302.36/363,356.76 = 142,443.76/x
  3. Step 3: Cross multiply
    263,302.36x = 363,356.76 × 142,443.76
  4. Step 4: Simplify right side
    263,302.36x = 51,757,903,115.82
  5. Step 5: Solve for x
    x = 51,757,903,115.82/263,302.36
  6. Step 6: Final answer
    x = 196,572.12

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1.5x scale

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.