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Finding the Fourth Proportional to 202,992.30, 304,488.45 and 97,821.90

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Solution

The fourth proportional to 202,992.30, 304,488.45 and 97,821.90 is: 146,732.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,992.30 : 304,488.45 = 97,821.90 : x
  2. Step 2: Convert to fraction form
    202,992.30/304,488.45 = 97,821.90/x
  3. Step 3: Cross multiply
    202,992.30x = 304,488.45 × 97,821.90
  4. Step 4: Simplify right side
    202,992.30x = 29,785,638,707.06
  5. Step 5: Solve for x
    x = 29,785,638,707.06/202,992.30
  6. Step 6: Final answer
    x = 146,732.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.