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Finding the Fourth Proportional to 224,531.78, 309,846.14 and 133,840.98

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Solution

The fourth proportional to 224,531.78, 309,846.14 and 133,840.98 is: 184,695.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,531.78 : 309,846.14 = 133,840.98 : x
  2. Step 2: Convert to fraction form
    224,531.78/309,846.14 = 133,840.98/x
  3. Step 3: Cross multiply
    224,531.78x = 309,846.14 × 133,840.98
  4. Step 4: Simplify right side
    224,531.78x = 41,470,111,026.82
  5. Step 5: Solve for x
    x = 41,470,111,026.82/224,531.78
  6. Step 6: Final answer
    x = 184,695.95

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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.