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Finding the Fourth Proportional to 202,983.10, 304,474.65 and 98,007.10

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Solution

The fourth proportional to 202,983.10, 304,474.65 and 98,007.10 is: 147,010.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,983.10 : 304,474.65 = 98,007.10 : x
  2. Step 2: Convert to fraction form
    202,983.10/304,474.65 = 98,007.10/x
  3. Step 3: Cross multiply
    202,983.10x = 304,474.65 × 98,007.10
  4. Step 4: Simplify right side
    202,983.10x = 29,840,677,470.02
  5. Step 5: Solve for x
    x = 29,840,677,470.02/202,983.10
  6. Step 6: Final answer
    x = 147,010.65

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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.