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Finding the Fourth Proportional to 224,643.64, 336,798.98 and 106,176.54

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Solution

The fourth proportional to 224,643.64, 336,798.98 and 106,176.54 is: 159,186.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,643.64 : 336,798.98 = 106,176.54 : x
  2. Step 2: Convert to fraction form
    224,643.64/336,798.98 = 106,176.54/x
  3. Step 3: Cross multiply
    224,643.64x = 336,798.98 × 106,176.54
  4. Step 4: Simplify right side
    224,643.64x = 35,760,150,371.93
  5. Step 5: Solve for x
    x = 35,760,150,371.93/224,643.64
  6. Step 6: Final answer
    x = 159,186.12

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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.