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Finding the Fourth Proportional to 239,722.44, 359,709.24 and 90,066

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Solution

The fourth proportional to 239,722.44, 359,709.24 and 90,066 is: 135,146.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,722.44 : 359,709.24 = 90,066 : x
  2. Step 2: Convert to fraction form
    239,722.44/359,709.24 = 90,066/x
  3. Step 3: Cross multiply
    239,722.44x = 359,709.24 × 90,066
  4. Step 4: Simplify right side
    239,722.44x = 32,397,572,409.84
  5. Step 5: Solve for x
    x = 32,397,572,409.84/239,722.44
  6. Step 6: Final answer
    x = 135,146.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.