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Finding the Fourth Proportional to 106,411.92, 146,848.46 and 61,092.84

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Solution

The fourth proportional to 106,411.92, 146,848.46 and 61,092.84 is: 84,308.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,411.92 : 146,848.46 = 61,092.84 : x
  2. Step 2: Convert to fraction form
    106,411.92/146,848.46 = 61,092.84/x
  3. Step 3: Cross multiply
    106,411.92x = 146,848.46 × 61,092.84
  4. Step 4: Simplify right side
    106,411.92x = 8,971,389,471.03
  5. Step 5: Solve for x
    x = 8,971,389,471.03/106,411.92
  6. Step 6: Final answer
    x = 84,308.13

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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.