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Finding the Fourth Proportional to 214,019, 295,345.60 and 123,374.44

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Solution

The fourth proportional to 214,019, 295,345.60 and 123,374.44 is: 170,256.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,019 : 295,345.60 = 123,374.44 : x
  2. Step 2: Convert to fraction form
    214,019/295,345.60 = 123,374.44/x
  3. Step 3: Cross multiply
    214,019x = 295,345.60 × 123,374.44
  4. Step 4: Simplify right side
    214,019x = 36,438,098,006.46
  5. Step 5: Solve for x
    x = 36,438,098,006.46/214,019
  6. Step 6: Final answer
    x = 170,256.37

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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.