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Finding the Fourth Proportional to 146,866.72, 202,684.08 and 83,216.92

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Solution

The fourth proportional to 146,866.72, 202,684.08 and 83,216.92 is: 114,843.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,866.72 : 202,684.08 = 83,216.92 : x
  2. Step 2: Convert to fraction form
    146,866.72/202,684.08 = 83,216.92/x
  3. Step 3: Cross multiply
    146,866.72x = 202,684.08 × 83,216.92
  4. Step 4: Simplify right side
    146,866.72x = 16,866,744,870.63
  5. Step 5: Solve for x
    x = 16,866,744,870.63/146,866.72
  6. Step 6: Final answer
    x = 114,843.89

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1.5x scale

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.