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Finding the Fourth Proportional to 224,266.44, 309,483.10 and 123,664.44

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Solution

The fourth proportional to 224,266.44, 309,483.10 and 123,664.44 is: 170,654.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,266.44 : 309,483.10 = 123,664.44 : x
  2. Step 2: Convert to fraction form
    224,266.44/309,483.10 = 123,664.44/x
  3. Step 3: Cross multiply
    224,266.44x = 309,483.10 × 123,664.44
  4. Step 4: Simplify right side
    224,266.44x = 38,272,054,250.96
  5. Step 5: Solve for x
    x = 38,272,054,250.96/224,266.44
  6. Step 6: Final answer
    x = 170,654.40

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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.