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Finding the Fourth Proportional to 283,100.47, 424,724.21 and 105,608.81

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Solution

The fourth proportional to 283,100.47, 424,724.21 and 105,608.81 is: 158,440.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,100.47 : 424,724.21 = 105,608.81 : x
  2. Step 2: Convert to fraction form
    283,100.47/424,724.21 = 105,608.81/x
  3. Step 3: Cross multiply
    283,100.47x = 424,724.21 × 105,608.81
  4. Step 4: Simplify right side
    283,100.47x = 44,854,619,326.09
  5. Step 5: Solve for x
    x = 44,854,619,326.09/283,100.47
  6. Step 6: Final answer
    x = 158,440.64

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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.