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Finding the Fourth Proportional to 294,122.52, 405,874.26 and 166,809.96

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Solution

The fourth proportional to 294,122.52, 405,874.26 and 166,809.96 is: 230,189.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,122.52 : 405,874.26 = 166,809.96 : x
  2. Step 2: Convert to fraction form
    294,122.52/405,874.26 = 166,809.96/x
  3. Step 3: Cross multiply
    294,122.52x = 405,874.26 × 166,809.96
  4. Step 4: Simplify right side
    294,122.52x = 67,703,869,075.63
  5. Step 5: Solve for x
    x = 67,703,869,075.63/294,122.52
  6. Step 6: Final answer
    x = 230,189.34

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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.