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Finding the Fourth Proportional to 224,416.54, 309,590.46 and 133,721.62

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Solution

The fourth proportional to 224,416.54, 309,590.46 and 133,721.62 is: 184,473.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,416.54 : 309,590.46 = 133,721.62 : x
  2. Step 2: Convert to fraction form
    224,416.54/309,590.46 = 133,721.62/x
  3. Step 3: Cross multiply
    224,416.54x = 309,590.46 × 133,721.62
  4. Step 4: Simplify right side
    224,416.54x = 41,398,937,847.75
  5. Step 5: Solve for x
    x = 41,398,937,847.75/224,416.54
  6. Step 6: Final answer
    x = 184,473.65

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1.5x scale

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.