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Finding the Fourth Proportional to 163,086.81, 224,964.22 and 102,561.45

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Solution

The fourth proportional to 163,086.81, 224,964.22 and 102,561.45 is: 141,474.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,086.81 : 224,964.22 = 102,561.45 : x
  2. Step 2: Convert to fraction form
    163,086.81/224,964.22 = 102,561.45/x
  3. Step 3: Cross multiply
    163,086.81x = 224,964.22 × 102,561.45
  4. Step 4: Simplify right side
    163,086.81x = 23,072,656,601.32
  5. Step 5: Solve for x
    x = 23,072,656,601.32/163,086.81
  6. Step 6: Final answer
    x = 141,474.69

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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.