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Finding the Fourth Proportional to 294,101.57, 405,860.48 and 166,777.26

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Solution

The fourth proportional to 294,101.57, 405,860.48 and 166,777.26 is: 230,152.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,101.57 : 405,860.48 = 166,777.26 : x
  2. Step 2: Convert to fraction form
    294,101.57/405,860.48 = 166,777.26/x
  3. Step 3: Cross multiply
    294,101.57x = 405,860.48 × 166,777.26
  4. Step 4: Simplify right side
    294,101.57x = 67,688,297,962.80
  5. Step 5: Solve for x
    x = 67,688,297,962.80/294,101.57
  6. Step 6: Final answer
    x = 230,152.80

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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.