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Finding the Fourth Proportional to 283,150.96, 424,800.51 and 105,659.53

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Solution

The fourth proportional to 283,150.96, 424,800.51 and 105,659.53 is: 158,516.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,150.96 : 424,800.51 = 105,659.53 : x
  2. Step 2: Convert to fraction form
    283,150.96/424,800.51 = 105,659.53/x
  3. Step 3: Cross multiply
    283,150.96x = 424,800.51 × 105,659.53
  4. Step 4: Simplify right side
    283,150.96x = 44,884,222,230.36
  5. Step 5: Solve for x
    x = 44,884,222,230.36/283,150.96
  6. Step 6: Final answer
    x = 158,516.93

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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.