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Finding the Fourth Proportional to 224,454.56, 309,609.36 and 133,748

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Solution

The fourth proportional to 224,454.56, 309,609.36 and 133,748 is: 184,490.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,454.56 : 309,609.36 = 133,748 : x
  2. Step 2: Convert to fraction form
    224,454.56/309,609.36 = 133,748/x
  3. Step 3: Cross multiply
    224,454.56x = 309,609.36 × 133,748
  4. Step 4: Simplify right side
    224,454.56x = 41,409,632,681.28
  5. Step 5: Solve for x
    x = 41,409,632,681.28/224,454.56
  6. Step 6: Final answer
    x = 184,490.05

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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.