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Finding the Fourth Proportional to 267,205.60, 401,035.20 and 109,547.20

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Solution

The fourth proportional to 267,205.60, 401,035.20 and 109,547.20 is: 164,413.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,205.60 : 401,035.20 = 109,547.20 : x
  2. Step 2: Convert to fraction form
    267,205.60/401,035.20 = 109,547.20/x
  3. Step 3: Cross multiply
    267,205.60x = 401,035.20 × 109,547.20
  4. Step 4: Simplify right side
    267,205.60x = 43,932,283,261.44
  5. Step 5: Solve for x
    x = 43,932,283,261.44/267,205.60
  6. Step 6: Final answer
    x = 164,413.78

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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.