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Finding the Fourth Proportional to 267,564.84, 401,406.42 and 90,066

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Solution

The fourth proportional to 267,564.84, 401,406.42 and 90,066 is: 135,118.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,564.84 : 401,406.42 = 90,066 : x
  2. Step 2: Convert to fraction form
    267,564.84/401,406.42 = 90,066/x
  3. Step 3: Cross multiply
    267,564.84x = 401,406.42 × 90,066
  4. Step 4: Simplify right side
    267,564.84x = 36,153,070,623.72
  5. Step 5: Solve for x
    x = 36,153,070,623.72/267,564.84
  6. Step 6: Final answer
    x = 135,118.91

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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.