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Finding the Fourth Proportional to 163,446.84, 225,620.28 and 103,005.64

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Solution

The fourth proportional to 163,446.84, 225,620.28 and 103,005.64 is: 142,187.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,446.84 : 225,620.28 = 103,005.64 : x
  2. Step 2: Convert to fraction form
    163,446.84/225,620.28 = 103,005.64/x
  3. Step 3: Cross multiply
    163,446.84x = 225,620.28 × 103,005.64
  4. Step 4: Simplify right side
    163,446.84x = 23,240,161,338.38
  5. Step 5: Solve for x
    x = 23,240,161,338.38/163,446.84
  6. Step 6: Final answer
    x = 142,187.89

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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.