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Finding the Fourth Proportional to 106,195.92, 146,526.84 and 61,458

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Solution

The fourth proportional to 106,195.92, 146,526.84 and 61,458 is: 84,798.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,195.92 : 146,526.84 = 61,458 : x
  2. Step 2: Convert to fraction form
    106,195.92/146,526.84 = 61,458/x
  3. Step 3: Cross multiply
    106,195.92x = 146,526.84 × 61,458
  4. Step 4: Simplify right side
    106,195.92x = 9,005,246,532.72
  5. Step 5: Solve for x
    x = 9,005,246,532.72/106,195.92
  6. Step 6: Final answer
    x = 84,798.42

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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.