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Finding the Fourth Proportional to 203,083.80, 304,409.70 and 97,834.20

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Solution

The fourth proportional to 203,083.80, 304,409.70 and 97,834.20 is: 146,647.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,083.80 : 304,409.70 = 97,834.20 : x
  2. Step 2: Convert to fraction form
    203,083.80/304,409.70 = 97,834.20/x
  3. Step 3: Cross multiply
    203,083.80x = 304,409.70 × 97,834.20
  4. Step 4: Simplify right side
    203,083.80x = 29,781,679,471.74
  5. Step 5: Solve for x
    x = 29,781,679,471.74/203,083.80
  6. Step 6: Final answer
    x = 146,647.24

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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.