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Finding the Fourth Proportional to 203,032.40, 304,289.40 and 156,052.40

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Solution

The fourth proportional to 203,032.40, 304,289.40 and 156,052.40 is: 233,879.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,032.40 : 304,289.40 = 156,052.40 : x
  2. Step 2: Convert to fraction form
    203,032.40/304,289.40 = 156,052.40/x
  3. Step 3: Cross multiply
    203,032.40x = 304,289.40 × 156,052.40
  4. Step 4: Simplify right side
    203,032.40x = 47,485,091,164.56
  5. Step 5: Solve for x
    x = 47,485,091,164.56/203,032.40
  6. Step 6: Final answer
    x = 233,879.38

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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.