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Finding the Fourth Proportional to 223,944.32, 309,043.16 and 123,342.32

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Solution

The fourth proportional to 223,944.32, 309,043.16 and 123,342.32 is: 170,212.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,944.32 : 309,043.16 = 123,342.32 : x
  2. Step 2: Convert to fraction form
    223,944.32/309,043.16 = 123,342.32/x
  3. Step 3: Cross multiply
    223,944.32x = 309,043.16 × 123,342.32
  4. Step 4: Simplify right side
    223,944.32x = 38,118,100,334.53
  5. Step 5: Solve for x
    x = 38,118,100,334.53/223,944.32
  6. Step 6: Final answer
    x = 170,212.40

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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.