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Finding the Fourth Proportional to 283,227.82, 424,841.75 and 105,748.68

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Solution

The fourth proportional to 283,227.82, 424,841.75 and 105,748.68 is: 158,623.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,227.82 : 424,841.75 = 105,748.68 : x
  2. Step 2: Convert to fraction form
    283,227.82/424,841.75 = 105,748.68/x
  3. Step 3: Cross multiply
    283,227.82x = 424,841.75 × 105,748.68
  4. Step 4: Simplify right side
    283,227.82x = 44,926,454,271.39
  5. Step 5: Solve for x
    x = 44,926,454,271.39/283,227.82
  6. Step 6: Final answer
    x = 158,623.03

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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.