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Finding the Fourth Proportional to 202,693.24, 304,170.42 and 109,264.12

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Solution

The fourth proportional to 202,693.24, 304,170.42 and 109,264.12 is: 163,966.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,693.24 : 304,170.42 = 109,264.12 : x
  2. Step 2: Convert to fraction form
    202,693.24/304,170.42 = 109,264.12/x
  3. Step 3: Cross multiply
    202,693.24x = 304,170.42 × 109,264.12
  4. Step 4: Simplify right side
    202,693.24x = 33,234,913,271.33
  5. Step 5: Solve for x
    x = 33,234,913,271.33/202,693.24
  6. Step 6: Final answer
    x = 163,966.56

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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.