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Finding the Fourth Proportional to 224,348.93, 309,602.49 and 122,376.61

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Solution

The fourth proportional to 224,348.93, 309,602.49 and 122,376.61 is: 168,880.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,348.93 : 309,602.49 = 122,376.61 : x
  2. Step 2: Convert to fraction form
    224,348.93/309,602.49 = 122,376.61/x
  3. Step 3: Cross multiply
    224,348.93x = 309,602.49 × 122,376.61
  4. Step 4: Simplify right side
    224,348.93x = 37,888,102,561.88
  5. Step 5: Solve for x
    x = 37,888,102,561.88/224,348.93
  6. Step 6: Final answer
    x = 168,880.25

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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.