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Finding the Fourth Proportional to 224,045.22, 309,247.60 and 146,531.88

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Solution

The fourth proportional to 224,045.22, 309,247.60 and 146,531.88 is: 202,256.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,045.22 : 309,247.60 = 146,531.88 : x
  2. Step 2: Convert to fraction form
    224,045.22/309,247.60 = 146,531.88/x
  3. Step 3: Cross multiply
    224,045.22x = 309,247.60 × 146,531.88
  4. Step 4: Simplify right side
    224,045.22x = 45,314,632,213.49
  5. Step 5: Solve for x
    x = 45,314,632,213.49/224,045.22
  6. Step 6: Final answer
    x = 202,256.63

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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.