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Finding the Fourth Proportional to 222,015.64, 306,417.84 and 165,033.40

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Solution

The fourth proportional to 222,015.64, 306,417.84 and 165,033.40 is: 227,773.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,015.64 : 306,417.84 = 165,033.40 : x
  2. Step 2: Convert to fraction form
    222,015.64/306,417.84 = 165,033.40/x
  3. Step 3: Cross multiply
    222,015.64x = 306,417.84 × 165,033.40
  4. Step 4: Simplify right side
    222,015.64x = 50,569,177,955.86
  5. Step 5: Solve for x
    x = 50,569,177,955.86/222,015.64
  6. Step 6: Final answer
    x = 227,773.04

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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.