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Finding the Fourth Proportional to 106,404.93, 146,852.10 and 61,097.10

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Solution

The fourth proportional to 106,404.93, 146,852.10 and 61,097.10 is: 84,321.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,404.93 : 146,852.10 = 61,097.10 : x
  2. Step 2: Convert to fraction form
    106,404.93/146,852.10 = 61,097.10/x
  3. Step 3: Cross multiply
    106,404.93x = 146,852.10 × 61,097.10
  4. Step 4: Simplify right side
    106,404.93x = 8,972,237,438.91
  5. Step 5: Solve for x
    x = 8,972,237,438.91/106,404.93
  6. Step 6: Final answer
    x = 84,321.63

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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.