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Finding the Fourth Proportional to 106,269.30, 146,652.06 and 63,828.54

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Solution

The fourth proportional to 106,269.30, 146,652.06 and 63,828.54 is: 88,083.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,269.30 : 146,652.06 = 63,828.54 : x
  2. Step 2: Convert to fraction form
    106,269.30/146,652.06 = 63,828.54/x
  3. Step 3: Cross multiply
    106,269.30x = 146,652.06 × 63,828.54
  4. Step 4: Simplify right side
    106,269.30x = 9,360,586,877.79
  5. Step 5: Solve for x
    x = 9,360,586,877.79/106,269.30
  6. Step 6: Final answer
    x = 88,083.64

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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.