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Finding the Fourth Proportional to 265,906.13, 366,952.79 and 145,047.95

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Solution

The fourth proportional to 265,906.13, 366,952.79 and 145,047.95 is: 200,167.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,906.13 : 366,952.79 = 145,047.95 : x
  2. Step 2: Convert to fraction form
    265,906.13/366,952.79 = 145,047.95/x
  3. Step 3: Cross multiply
    265,906.13x = 366,952.79 × 145,047.95
  4. Step 4: Simplify right side
    265,906.13x = 53,225,747,376.28
  5. Step 5: Solve for x
    x = 53,225,747,376.28/265,906.13
  6. Step 6: Final answer
    x = 200,167.44

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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.