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Finding the Fourth Proportional to 215,145.32, 296,904.74 and 119,652.20

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Solution

The fourth proportional to 215,145.32, 296,904.74 and 119,652.20 is: 165,122.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,145.32 : 296,904.74 = 119,652.20 : x
  2. Step 2: Convert to fraction form
    215,145.32/296,904.74 = 119,652.20/x
  3. Step 3: Cross multiply
    215,145.32x = 296,904.74 × 119,652.20
  4. Step 4: Simplify right side
    215,145.32x = 35,525,305,331.43
  5. Step 5: Solve for x
    x = 35,525,305,331.43/215,145.32
  6. Step 6: Final answer
    x = 165,122.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.