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Finding the Fourth Proportional to 263,785.76, 364,024.80 and 142,927.04

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Solution

The fourth proportional to 263,785.76, 364,024.80 and 142,927.04 is: 197,239.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,785.76 : 364,024.80 = 142,927.04 : x
  2. Step 2: Convert to fraction form
    263,785.76/364,024.80 = 142,927.04/x
  3. Step 3: Cross multiply
    263,785.76x = 364,024.80 × 142,927.04
  4. Step 4: Simplify right side
    263,785.76x = 52,028,987,150.59
  5. Step 5: Solve for x
    x = 52,028,987,150.59/263,785.76
  6. Step 6: Final answer
    x = 197,239.56

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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.