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Finding the Fourth Proportional to 263,155.77, 363,154.70 and 142,296.77

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Solution

The fourth proportional to 263,155.77, 363,154.70 and 142,296.77 is: 196,369.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,155.77 : 363,154.70 = 142,296.77 : x
  2. Step 2: Convert to fraction form
    263,155.77/363,154.70 = 142,296.77/x
  3. Step 3: Cross multiply
    263,155.77x = 363,154.70 × 142,296.77
  4. Step 4: Simplify right side
    263,155.77x = 51,675,738,293.06
  5. Step 5: Solve for x
    x = 51,675,738,293.06/263,155.77
  6. Step 6: Final answer
    x = 196,369.39

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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.