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Finding the Fourth Proportional to 224,129.66, 336,223.64 and 81,952.79

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Solution

The fourth proportional to 224,129.66, 336,223.64 and 81,952.79 is: 122,939.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,129.66 : 336,223.64 = 81,952.79 : x
  2. Step 2: Convert to fraction form
    224,129.66/336,223.64 = 81,952.79/x
  3. Step 3: Cross multiply
    224,129.66x = 336,223.64 × 81,952.79
  4. Step 4: Simplify right side
    224,129.66x = 27,554,463,271.07
  5. Step 5: Solve for x
    x = 27,554,463,271.07/224,129.66
  6. Step 6: Final answer
    x = 122,939.84

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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.