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Finding the Fourth Proportional to 267,830.96, 401,997 and 141,564.92

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Solution

The fourth proportional to 267,830.96, 401,997 and 141,564.92 is: 212,479.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,830.96 : 401,997 = 141,564.92 : x
  2. Step 2: Convert to fraction form
    267,830.96/401,997 = 141,564.92/x
  3. Step 3: Cross multiply
    267,830.96x = 401,997 × 141,564.92
  4. Step 4: Simplify right side
    267,830.96x = 56,908,673,145.24
  5. Step 5: Solve for x
    x = 56,908,673,145.24/267,830.96
  6. Step 6: Final answer
    x = 212,479.82

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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.