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Finding the Fourth Proportional to 263,527.77, 363,668.24 and 142,668.98

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Solution

The fourth proportional to 263,527.77, 363,668.24 and 142,668.98 is: 196,883.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,527.77 : 363,668.24 = 142,668.98 : x
  2. Step 2: Convert to fraction form
    263,527.77/363,668.24 = 142,668.98/x
  3. Step 3: Cross multiply
    263,527.77x = 363,668.24 × 142,668.98
  4. Step 4: Simplify right side
    263,527.77x = 51,884,174,327.51
  5. Step 5: Solve for x
    x = 51,884,174,327.51/263,527.77
  6. Step 6: Final answer
    x = 196,883.14

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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.