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Finding the Fourth Proportional to 224,612.40, 309,853.32 and 133,904.48

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Solution

The fourth proportional to 224,612.40, 309,853.32 and 133,904.48 is: 184,721.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,612.40 : 309,853.32 = 133,904.48 : x
  2. Step 2: Convert to fraction form
    224,612.40/309,853.32 = 133,904.48/x
  3. Step 3: Cross multiply
    224,612.40x = 309,853.32 × 133,904.48
  4. Step 4: Simplify right side
    224,612.40x = 41,490,747,690.87
  5. Step 5: Solve for x
    x = 41,490,747,690.87/224,612.40
  6. Step 6: Final answer
    x = 184,721.54

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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.