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Finding the Fourth Proportional to 224,059.42, 309,209.40 and 122,092.96

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Solution

The fourth proportional to 224,059.42, 309,209.40 and 122,092.96 is: 168,492.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,059.42 : 309,209.40 = 122,092.96 : x
  2. Step 2: Convert to fraction form
    224,059.42/309,209.40 = 122,092.96/x
  3. Step 3: Cross multiply
    224,059.42x = 309,209.40 × 122,092.96
  4. Step 4: Simplify right side
    224,059.42x = 37,752,290,905.82
  5. Step 5: Solve for x
    x = 37,752,290,905.82/224,059.42
  6. Step 6: Final answer
    x = 168,492.32

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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.