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Finding the Fourth Proportional to 294,107.06, 405,868.11 and 159,971.06

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Solution

The fourth proportional to 294,107.06, 405,868.11 and 159,971.06 is: 220,760.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,107.06 : 405,868.11 = 159,971.06 : x
  2. Step 2: Convert to fraction form
    294,107.06/405,868.11 = 159,971.06/x
  3. Step 3: Cross multiply
    294,107.06x = 405,868.11 × 159,971.06
  4. Step 4: Simplify right side
    294,107.06x = 64,927,152,191.68
  5. Step 5: Solve for x
    x = 64,927,152,191.68/294,107.06
  6. Step 6: Final answer
    x = 220,760.26

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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.