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Finding the Fourth Proportional to 267,563.84, 401,407.56 and 90,066.32

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Solution

The fourth proportional to 267,563.84, 401,407.56 and 90,066.32 is: 135,120.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,563.84 : 401,407.56 = 90,066.32 : x
  2. Step 2: Convert to fraction form
    267,563.84/401,407.56 = 90,066.32/x
  3. Step 3: Cross multiply
    267,563.84x = 401,407.56 × 90,066.32
  4. Step 4: Simplify right side
    267,563.84x = 36,153,301,749.38
  5. Step 5: Solve for x
    x = 36,153,301,749.38/267,563.84
  6. Step 6: Final answer
    x = 135,120.28

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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.