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Finding the Fourth Proportional to 233,142.81, 349,256.58 and 120,896.40

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Solution

The fourth proportional to 233,142.81, 349,256.58 and 120,896.40 is: 181,107.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,142.81 : 349,256.58 = 120,896.40 : x
  2. Step 2: Convert to fraction form
    233,142.81/349,256.58 = 120,896.40/x
  3. Step 3: Cross multiply
    233,142.81x = 349,256.58 × 120,896.40
  4. Step 4: Simplify right side
    233,142.81x = 42,223,863,198.31
  5. Step 5: Solve for x
    x = 42,223,863,198.31/233,142.81
  6. Step 6: Final answer
    x = 181,107.29

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