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Finding the Fourth Proportional to 146,606.54, 202,317.90 and 82,957.64

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Solution

The fourth proportional to 146,606.54, 202,317.90 and 82,957.64 is: 114,482.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,606.54 : 202,317.90 = 82,957.64 : x
  2. Step 2: Convert to fraction form
    146,606.54/202,317.90 = 82,957.64/x
  3. Step 3: Cross multiply
    146,606.54x = 202,317.90 × 82,957.64
  4. Step 4: Simplify right side
    146,606.54x = 16,783,815,513.76
  5. Step 5: Solve for x
    x = 16,783,815,513.76/146,606.54
  6. Step 6: Final answer
    x = 114,482.04

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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.