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Finding the Fourth Proportional to 150,397.12, 225,587.37 and 50,547

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Solution

The fourth proportional to 150,397.12, 225,587.37 and 50,547 is: 75,817.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,397.12 : 225,587.37 = 50,547 : x
  2. Step 2: Convert to fraction form
    150,397.12/225,587.37 = 50,547/x
  3. Step 3: Cross multiply
    150,397.12x = 225,587.37 × 50,547
  4. Step 4: Simplify right side
    150,397.12x = 11,402,764,791.39
  5. Step 5: Solve for x
    x = 11,402,764,791.39/150,397.12
  6. Step 6: Final answer
    x = 75,817.71

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