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Finding the Fourth Proportional to 293,551.12, 405,100.20 and 159,414.16

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Solution

The fourth proportional to 293,551.12, 405,100.20 and 159,414.16 is: 219,991.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,551.12 : 405,100.20 = 159,414.16 : x
  2. Step 2: Convert to fraction form
    293,551.12/405,100.20 = 159,414.16/x
  3. Step 3: Cross multiply
    293,551.12x = 405,100.20 × 159,414.16
  4. Step 4: Simplify right side
    293,551.12x = 64,578,708,098.83
  5. Step 5: Solve for x
    x = 64,578,708,098.83/293,551.12
  6. Step 6: Final answer
    x = 219,991.35

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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.