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Finding the Fourth Proportional to 203,078.24, 304,814.20 and 97,971.02

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Solution

The fourth proportional to 203,078.24, 304,814.20 and 97,971.02 is: 147,051.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,078.24 : 304,814.20 = 97,971.02 : x
  2. Step 2: Convert to fraction form
    203,078.24/304,814.20 = 97,971.02/x
  3. Step 3: Cross multiply
    203,078.24x = 304,814.20 × 97,971.02
  4. Step 4: Simplify right side
    203,078.24x = 29,862,958,084.48
  5. Step 5: Solve for x
    x = 29,862,958,084.48/203,078.24
  6. Step 6: Final answer
    x = 147,051.49

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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.