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Finding the Fourth Proportional to 267,701.64, 401,314.32 and 101,606.28

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Solution

The fourth proportional to 267,701.64, 401,314.32 and 101,606.28 is: 152,319.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,701.64 : 401,314.32 = 101,606.28 : x
  2. Step 2: Convert to fraction form
    267,701.64/401,314.32 = 101,606.28/x
  3. Step 3: Cross multiply
    267,701.64x = 401,314.32 × 101,606.28
  4. Step 4: Simplify right side
    267,701.64x = 40,776,055,165.93
  5. Step 5: Solve for x
    x = 40,776,055,165.93/267,701.64
  6. Step 6: Final answer
    x = 152,319.03

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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.