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Finding the Fourth Proportional to 224,718.48, 310,106.04 and 129,222.98

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Solution

The fourth proportional to 224,718.48, 310,106.04 and 129,222.98 is: 178,324.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,718.48 : 310,106.04 = 129,222.98 : x
  2. Step 2: Convert to fraction form
    224,718.48/310,106.04 = 129,222.98/x
  3. Step 3: Cross multiply
    224,718.48x = 310,106.04 × 129,222.98
  4. Step 4: Simplify right side
    224,718.48x = 40,072,826,604.80
  5. Step 5: Solve for x
    x = 40,072,826,604.80/224,718.48
  6. Step 6: Final answer
    x = 178,324.57

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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.