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Finding the Fourth Proportional to 267,225.60, 401,065.20 and 109,567.20

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Solution

The fourth proportional to 267,225.60, 401,065.20 and 109,567.20 is: 164,443.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,225.60 : 401,065.20 = 109,567.20 : x
  2. Step 2: Convert to fraction form
    267,225.60/401,065.20 = 109,567.20/x
  3. Step 3: Cross multiply
    267,225.60x = 401,065.20 × 109,567.20
  4. Step 4: Simplify right side
    267,225.60x = 43,943,590,981.44
  5. Step 5: Solve for x
    x = 43,943,590,981.44/267,225.60
  6. Step 6: Final answer
    x = 164,443.79

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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.