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Finding the Fourth Proportional to 222,006.54, 306,164.54 and 145,497.77

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Solution

The fourth proportional to 222,006.54, 306,164.54 and 145,497.77 is: 200,652.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,006.54 : 306,164.54 = 145,497.77 : x
  2. Step 2: Convert to fraction form
    222,006.54/306,164.54 = 145,497.77/x
  3. Step 3: Cross multiply
    222,006.54x = 306,164.54 × 145,497.77
  4. Step 4: Simplify right side
    222,006.54x = 44,546,257,823.08
  5. Step 5: Solve for x
    x = 44,546,257,823.08/222,006.54
  6. Step 6: Final answer
    x = 200,652.91

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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.