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Finding the Fourth Proportional to 102,026.70, 153,040.05 and 90,654.30

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Solution

The fourth proportional to 102,026.70, 153,040.05 and 90,654.30 is: 135,981.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,026.70 : 153,040.05 = 90,654.30 : x
  2. Step 2: Convert to fraction form
    102,026.70/153,040.05 = 90,654.30/x
  3. Step 3: Cross multiply
    102,026.70x = 153,040.05 × 90,654.30
  4. Step 4: Simplify right side
    102,026.70x = 13,873,738,604.72
  5. Step 5: Solve for x
    x = 13,873,738,604.72/102,026.70
  6. Step 6: Final answer
    x = 135,981.45

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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.