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Finding the Fourth Proportional to 224,071.32, 309,204 and 133,434

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Solution

The fourth proportional to 224,071.32, 309,204 and 133,434 is: 184,130.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,071.32 : 309,204 = 133,434 : x
  2. Step 2: Convert to fraction form
    224,071.32/309,204 = 133,434/x
  3. Step 3: Cross multiply
    224,071.32x = 309,204 × 133,434
  4. Step 4: Simplify right side
    224,071.32x = 41,258,326,536
  5. Step 5: Solve for x
    x = 41,258,326,536/224,071.32
  6. Step 6: Final answer
    x = 184,130.33

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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.