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Finding the Fourth Proportional to 203,084.87, 304,802.26 and 97,992.23

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Solution

The fourth proportional to 203,084.87, 304,802.26 and 97,992.23 is: 147,072.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,084.87 : 304,802.26 = 97,992.23 : x
  2. Step 2: Convert to fraction form
    203,084.87/304,802.26 = 97,992.23/x
  3. Step 3: Cross multiply
    203,084.87x = 304,802.26 × 97,992.23
  4. Step 4: Simplify right side
    203,084.87x = 29,868,251,397.45
  5. Step 5: Solve for x
    x = 29,868,251,397.45/203,084.87
  6. Step 6: Final answer
    x = 147,072.76

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1.5x scale

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.