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Finding the Fourth Proportional to 220,097.30, 303,741.63 and 123,305.34

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Solution

The fourth proportional to 220,097.30, 303,741.63 and 123,305.34 is: 170,165.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,097.30 : 303,741.63 = 123,305.34 : x
  2. Step 2: Convert to fraction form
    220,097.30/303,741.63 = 123,305.34/x
  3. Step 3: Cross multiply
    220,097.30x = 303,741.63 × 123,305.34
  4. Step 4: Simplify right side
    220,097.30x = 37,452,964,959.30
  5. Step 5: Solve for x
    x = 37,452,964,959.30/220,097.30
  6. Step 6: Final answer
    x = 170,165.49

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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.