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Finding the Fourth Proportional to 329,202.35, 493,803.54 and 92,545.05

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Solution

The fourth proportional to 329,202.35, 493,803.54 and 92,545.05 is: 138,817.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,202.35 : 493,803.54 = 92,545.05 : x
  2. Step 2: Convert to fraction form
    329,202.35/493,803.54 = 92,545.05/x
  3. Step 3: Cross multiply
    329,202.35x = 493,803.54 × 92,545.05
  4. Step 4: Simplify right side
    329,202.35x = 45,699,073,299.48
  5. Step 5: Solve for x
    x = 45,699,073,299.48/329,202.35
  6. Step 6: Final answer
    x = 138,817.58

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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.