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Finding the Fourth Proportional to 147,904.29, 204,107.94 and 84,248.01

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Solution

The fourth proportional to 147,904.29, 204,107.94 and 84,248.01 is: 116,262.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,904.29 : 204,107.94 = 84,248.01 : x
  2. Step 2: Convert to fraction form
    147,904.29/204,107.94 = 84,248.01/x
  3. Step 3: Cross multiply
    147,904.29x = 204,107.94 × 84,248.01
  4. Step 4: Simplify right side
    147,904.29x = 17,195,687,770.20
  5. Step 5: Solve for x
    x = 17,195,687,770.20/147,904.29
  6. Step 6: Final answer
    x = 116,262.27

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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.