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Finding the Fourth Proportional to 245,992.50, 369,105.38 and 146,349.54

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Solution

The fourth proportional to 245,992.50, 369,105.38 and 146,349.54 is: 219,593.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,992.50 : 369,105.38 = 146,349.54 : x
  2. Step 2: Convert to fraction form
    245,992.50/369,105.38 = 146,349.54/x
  3. Step 3: Cross multiply
    245,992.50x = 369,105.38 × 146,349.54
  4. Step 4: Simplify right side
    245,992.50x = 54,018,401,094.87
  5. Step 5: Solve for x
    x = 54,018,401,094.87/245,992.50
  6. Step 6: Final answer
    x = 219,593.70

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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.