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Finding the Fourth Proportional to 264,954.24, 365,549.76 and 164,332.80

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Solution

The fourth proportional to 264,954.24, 365,549.76 and 164,332.80 is: 226,725.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,954.24 : 365,549.76 = 164,332.80 : x
  2. Step 2: Convert to fraction form
    264,954.24/365,549.76 = 164,332.80/x
  3. Step 3: Cross multiply
    264,954.24x = 365,549.76 × 164,332.80
  4. Step 4: Simplify right side
    264,954.24x = 60,071,815,600.13
  5. Step 5: Solve for x
    x = 60,071,815,600.13/264,954.24
  6. Step 6: Final answer
    x = 226,725.25

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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.