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Finding the Fourth Proportional to 224,533.76, 309,848.88 and 133,843

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Solution

The fourth proportional to 224,533.76, 309,848.88 and 133,843 is: 184,698.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,533.76 : 309,848.88 = 133,843 : x
  2. Step 2: Convert to fraction form
    224,533.76/309,848.88 = 133,843/x
  3. Step 3: Cross multiply
    224,533.76x = 309,848.88 × 133,843
  4. Step 4: Simplify right side
    224,533.76x = 41,471,103,645.84
  5. Step 5: Solve for x
    x = 41,471,103,645.84/224,533.76
  6. Step 6: Final answer
    x = 184,698.74

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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.