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Finding the Fourth Proportional to 285,072.24, 427,593.12 and 107,567.76

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Solution

The fourth proportional to 285,072.24, 427,593.12 and 107,567.76 is: 161,345.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,072.24 : 427,593.12 = 107,567.76 : x
  2. Step 2: Convert to fraction form
    285,072.24/427,593.12 = 107,567.76/x
  3. Step 3: Cross multiply
    285,072.24x = 427,593.12 × 107,567.76
  4. Step 4: Simplify right side
    285,072.24x = 45,995,234,109.81
  5. Step 5: Solve for x
    x = 45,995,234,109.81/285,072.24
  6. Step 6: Final answer
    x = 161,345.89

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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.