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Finding the Fourth Proportional to 224,659, 310,029.69 and 124,057

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Solution

The fourth proportional to 224,659, 310,029.69 and 124,057 is: 171,198.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,659 : 310,029.69 = 124,057 : x
  2. Step 2: Convert to fraction form
    224,659/310,029.69 = 124,057/x
  3. Step 3: Cross multiply
    224,659x = 310,029.69 × 124,057
  4. Step 4: Simplify right side
    224,659x = 38,461,353,252.33
  5. Step 5: Solve for x
    x = 38,461,353,252.33/224,659
  6. Step 6: Final answer
    x = 171,198.81

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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.