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Finding the Fourth Proportional to 224,076.93, 309,223.35 and 122,106.84

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Solution

The fourth proportional to 224,076.93, 309,223.35 and 122,106.84 is: 168,505.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,076.93 : 309,223.35 = 122,106.84 : x
  2. Step 2: Convert to fraction form
    224,076.93/309,223.35 = 122,106.84/x
  3. Step 3: Cross multiply
    224,076.93x = 309,223.35 × 122,106.84
  4. Step 4: Simplify right side
    224,076.93x = 37,758,286,122.71
  5. Step 5: Solve for x
    x = 37,758,286,122.71/224,076.93
  6. Step 6: Final answer
    x = 168,505.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.