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Finding the Fourth Proportional to 224,085, 336,126.25 and 129,253.71

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Solution

The fourth proportional to 224,085, 336,126.25 and 129,253.71 is: 193,879.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,085 : 336,126.25 = 129,253.71 : x
  2. Step 2: Convert to fraction form
    224,085/336,126.25 = 129,253.71/x
  3. Step 3: Cross multiply
    224,085x = 336,126.25 × 129,253.71
  4. Step 4: Simplify right side
    224,085x = 43,445,564,840.89
  5. Step 5: Solve for x
    x = 43,445,564,840.89/224,085
  6. Step 6: Final answer
    x = 193,879.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.