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Finding the Fourth Proportional to 214,424.63, 295,712.26 and 133,859.60

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Solution

The fourth proportional to 214,424.63, 295,712.26 and 133,859.60 is: 184,605.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,424.63 : 295,712.26 = 133,859.60 : x
  2. Step 2: Convert to fraction form
    214,424.63/295,712.26 = 133,859.60/x
  3. Step 3: Cross multiply
    214,424.63x = 295,712.26 × 133,859.60
  4. Step 4: Simplify right side
    214,424.63x = 39,583,923,025.49
  5. Step 5: Solve for x
    x = 39,583,923,025.49/214,424.63
  6. Step 6: Final answer
    x = 184,605.30

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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.