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Finding the Fourth Proportional to 224,054.78, 309,098.44 and 133,359.89

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Solution

The fourth proportional to 224,054.78, 309,098.44 and 133,359.89 is: 183,978.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,054.78 : 309,098.44 = 133,359.89 : x
  2. Step 2: Convert to fraction form
    224,054.78/309,098.44 = 133,359.89/x
  3. Step 3: Cross multiply
    224,054.78x = 309,098.44 × 133,359.89
  4. Step 4: Simplify right side
    224,054.78x = 41,221,333,957.57
  5. Step 5: Solve for x
    x = 41,221,333,957.57/224,054.78
  6. Step 6: Final answer
    x = 183,978.82

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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.