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Finding the Fourth Proportional to 203,114.30, 304,455.45 and 97,864.70

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Solution

The fourth proportional to 203,114.30, 304,455.45 and 97,864.70 is: 146,692.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,114.30 : 304,455.45 = 97,864.70 : x
  2. Step 2: Convert to fraction form
    203,114.30/304,455.45 = 97,864.70/x
  3. Step 3: Cross multiply
    203,114.30x = 304,455.45 × 97,864.70
  4. Step 4: Simplify right side
    203,114.30x = 29,795,441,277.62
  5. Step 5: Solve for x
    x = 29,795,441,277.62/203,114.30
  6. Step 6: Final answer
    x = 146,692.98

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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.