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Finding the Fourth Proportional to 283,277.76, 424,917.68 and 105,782.88

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Solution

The fourth proportional to 283,277.76, 424,917.68 and 105,782.88 is: 158,674.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,277.76 : 424,917.68 = 105,782.88 : x
  2. Step 2: Convert to fraction form
    283,277.76/424,917.68 = 105,782.88/x
  3. Step 3: Cross multiply
    283,277.76x = 424,917.68 × 105,782.88
  4. Step 4: Simplify right side
    283,277.76x = 44,949,015,953.32
  5. Step 5: Solve for x
    x = 44,949,015,953.32/283,277.76
  6. Step 6: Final answer
    x = 158,674.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.