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Finding the Fourth Proportional to 285,213.57, 427,681.92 and 142,997.76

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Solution

The fourth proportional to 285,213.57, 427,681.92 and 142,997.76 is: 214,427.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,213.57 : 427,681.92 = 142,997.76 : x
  2. Step 2: Convert to fraction form
    285,213.57/427,681.92 = 142,997.76/x
  3. Step 3: Cross multiply
    285,213.57x = 427,681.92 × 142,997.76
  4. Step 4: Simplify right side
    285,213.57x = 61,157,556,552.50
  5. Step 5: Solve for x
    x = 61,157,556,552.50/285,213.57
  6. Step 6: Final answer
    x = 214,427.23

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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.