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Finding the Fourth Proportional to 224,323.64, 309,531.24 and 133,677.36

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Solution

The fourth proportional to 224,323.64, 309,531.24 and 133,677.36 is: 184,453.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,323.64 : 309,531.24 = 133,677.36 : x
  2. Step 2: Convert to fraction form
    224,323.64/309,531.24 = 133,677.36/x
  3. Step 3: Cross multiply
    224,323.64x = 309,531.24 × 133,677.36
  4. Step 4: Simplify right side
    224,323.64x = 41,377,319,000.73
  5. Step 5: Solve for x
    x = 41,377,319,000.73/224,323.64
  6. Step 6: Final answer
    x = 184,453.67

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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.