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Finding the Fourth Proportional to 224,653.24, 336,813.54 and 106,186.24

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Solution

The fourth proportional to 224,653.24, 336,813.54 and 106,186.24 is: 159,200.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,653.24 : 336,813.54 = 106,186.24 : x
  2. Step 2: Convert to fraction form
    224,653.24/336,813.54 = 106,186.24/x
  3. Step 3: Cross multiply
    224,653.24x = 336,813.54 × 106,186.24
  4. Step 4: Simplify right side
    224,653.24x = 35,764,963,393.69
  5. Step 5: Solve for x
    x = 35,764,963,393.69/224,653.24
  6. Step 6: Final answer
    x = 159,200.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.