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Finding the Fourth Proportional to 267,430.68, 401,142.96 and 65,027.94

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Solution

The fourth proportional to 267,430.68, 401,142.96 and 65,027.94 is: 97,541.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,430.68 : 401,142.96 = 65,027.94 : x
  2. Step 2: Convert to fraction form
    267,430.68/401,142.96 = 65,027.94/x
  3. Step 3: Cross multiply
    267,430.68x = 401,142.96 × 65,027.94
  4. Step 4: Simplify right side
    267,430.68x = 26,085,500,334.30
  5. Step 5: Solve for x
    x = 26,085,500,334.30/267,430.68
  6. Step 6: Final answer
    x = 97,541.17

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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.