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Finding the Fourth Proportional to 203,207.01, 304,997.64 and 103,438.50

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Solution

The fourth proportional to 203,207.01, 304,997.64 and 103,438.50 is: 155,253.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,207.01 : 304,997.64 = 103,438.50 : x
  2. Step 2: Convert to fraction form
    203,207.01/304,997.64 = 103,438.50/x
  3. Step 3: Cross multiply
    203,207.01x = 304,997.64 × 103,438.50
  4. Step 4: Simplify right side
    203,207.01x = 31,548,498,385.14
  5. Step 5: Solve for x
    x = 31,548,498,385.14/203,207.01
  6. Step 6: Final answer
    x = 155,253.00

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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.