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Finding the Fourth Proportional to 178,090.73, 266,712.05 and 103,052.73

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Solution

The fourth proportional to 178,090.73, 266,712.05 and 103,052.73 is: 154,333.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,090.73 : 266,712.05 = 103,052.73 : x
  2. Step 2: Convert to fraction form
    178,090.73/266,712.05 = 103,052.73/x
  3. Step 3: Cross multiply
    178,090.73x = 266,712.05 × 103,052.73
  4. Step 4: Simplify right side
    178,090.73x = 27,485,404,361.13
  5. Step 5: Solve for x
    x = 27,485,404,361.13/178,090.73
  6. Step 6: Final answer
    x = 154,333.72

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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.