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Finding the Fourth Proportional to 224,393.84, 336,491.76 and 84,054

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Solution

The fourth proportional to 224,393.84, 336,491.76 and 84,054 is: 126,043.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,393.84 : 336,491.76 = 84,054 : x
  2. Step 2: Convert to fraction form
    224,393.84/336,491.76 = 84,054/x
  3. Step 3: Cross multiply
    224,393.84x = 336,491.76 × 84,054
  4. Step 4: Simplify right side
    224,393.84x = 28,283,478,395.04
  5. Step 5: Solve for x
    x = 28,283,478,395.04/224,393.84
  6. Step 6: Final answer
    x = 126,043.92

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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.