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Finding the Fourth Proportional to 269,083.60, 402,847.80 and 164,107.60

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Solution

The fourth proportional to 269,083.60, 402,847.80 and 164,107.60 is: 245,687.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,083.60 : 402,847.80 = 164,107.60 : x
  2. Step 2: Convert to fraction form
    269,083.60/402,847.80 = 164,107.60/x
  3. Step 3: Cross multiply
    269,083.60x = 402,847.80 × 164,107.60
  4. Step 4: Simplify right side
    269,083.60x = 66,110,385,623.28
  5. Step 5: Solve for x
    x = 66,110,385,623.28/269,083.60
  6. Step 6: Final answer
    x = 245,687.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.