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Finding the Fourth Proportional to 224,773.32, 310,174.74 and 129,281.61

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Solution

The fourth proportional to 224,773.32, 310,174.74 and 129,281.61 is: 178,401.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,773.32 : 310,174.74 = 129,281.61 : x
  2. Step 2: Convert to fraction form
    224,773.32/310,174.74 = 129,281.61/x
  3. Step 3: Cross multiply
    224,773.32x = 310,174.74 × 129,281.61
  4. Step 4: Simplify right side
    224,773.32x = 40,099,889,768.53
  5. Step 5: Solve for x
    x = 40,099,889,768.53/224,773.32
  6. Step 6: Final answer
    x = 178,401.47

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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.