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Finding the Fourth Proportional to 267,638.32, 401,107.52 and 109,681.84

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Solution

The fourth proportional to 267,638.32, 401,107.52 and 109,681.84 is: 164,379.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,638.32 : 401,107.52 = 109,681.84 : x
  2. Step 2: Convert to fraction form
    267,638.32/401,107.52 = 109,681.84/x
  3. Step 3: Cross multiply
    267,638.32x = 401,107.52 × 109,681.84
  4. Step 4: Simplify right side
    267,638.32x = 43,994,210,831.44
  5. Step 5: Solve for x
    x = 43,994,210,831.44/267,638.32
  6. Step 6: Final answer
    x = 164,379.34

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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.