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Finding the Fourth Proportional to 189,330.42, 261,361.80 and 120,448.20

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Solution

The fourth proportional to 189,330.42, 261,361.80 and 120,448.20 is: 166,273.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,330.42 : 261,361.80 = 120,448.20 : x
  2. Step 2: Convert to fraction form
    189,330.42/261,361.80 = 120,448.20/x
  3. Step 3: Cross multiply
    189,330.42x = 261,361.80 × 120,448.20
  4. Step 4: Simplify right side
    189,330.42x = 31,480,558,358.76
  5. Step 5: Solve for x
    x = 31,480,558,358.76/189,330.42
  6. Step 6: Final answer
    x = 166,273.11

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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.