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Finding the Fourth Proportional to 106,092.03, 146,404.08 and 58,345.38

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Solution

The fourth proportional to 106,092.03, 146,404.08 and 58,345.38 is: 80,515.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,092.03 : 146,404.08 = 58,345.38 : x
  2. Step 2: Convert to fraction form
    106,092.03/146,404.08 = 58,345.38/x
  3. Step 3: Cross multiply
    106,092.03x = 146,404.08 × 58,345.38
  4. Step 4: Simplify right side
    106,092.03x = 8,542,001,094.99
  5. Step 5: Solve for x
    x = 8,542,001,094.99/106,092.03
  6. Step 6: Final answer
    x = 80,515.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.