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Finding the Fourth Proportional to 264,906.40, 365,607.12 and 201,143.20

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Solution

The fourth proportional to 264,906.40, 365,607.12 and 201,143.20 is: 277,605.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,906.40 : 365,607.12 = 201,143.20 : x
  2. Step 2: Convert to fraction form
    264,906.40/365,607.12 = 201,143.20/x
  3. Step 3: Cross multiply
    264,906.40x = 365,607.12 × 201,143.20
  4. Step 4: Simplify right side
    264,906.40x = 73,539,386,059.58
  5. Step 5: Solve for x
    x = 73,539,386,059.58/264,906.40
  6. Step 6: Final answer
    x = 277,605.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.