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Finding the Fourth Proportional to 224,005.65, 336,057.63 and 164,661.40

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Solution

The fourth proportional to 224,005.65, 336,057.63 and 164,661.40 is: 247,028.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,005.65 : 336,057.63 = 164,661.40 : x
  2. Step 2: Convert to fraction form
    224,005.65/336,057.63 = 164,661.40/x
  3. Step 3: Cross multiply
    224,005.65x = 336,057.63 × 164,661.40
  4. Step 4: Simplify right side
    224,005.65x = 55,335,719,836.48
  5. Step 5: Solve for x
    x = 55,335,719,836.48/224,005.65
  6. Step 6: Final answer
    x = 247,028.23

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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.