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Finding the Fourth Proportional to 224,295.84, 309,524.40 and 122,322.12

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Solution

The fourth proportional to 224,295.84, 309,524.40 and 122,322.12 is: 168,802.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,295.84 : 309,524.40 = 122,322.12 : x
  2. Step 2: Convert to fraction form
    224,295.84/309,524.40 = 122,322.12/x
  3. Step 3: Cross multiply
    224,295.84x = 309,524.40 × 122,322.12
  4. Step 4: Simplify right side
    224,295.84x = 37,861,680,799.73
  5. Step 5: Solve for x
    x = 37,861,680,799.73/224,295.84
  6. Step 6: Final answer
    x = 168,802.42

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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.