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Finding the Fourth Proportional to 102,052.56, 153,094.68 and 52,105.56

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Solution

The fourth proportional to 102,052.56, 153,094.68 and 52,105.56 is: 78,166.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,052.56 : 153,094.68 = 52,105.56 : x
  2. Step 2: Convert to fraction form
    102,052.56/153,094.68 = 52,105.56/x
  3. Step 3: Cross multiply
    102,052.56x = 153,094.68 × 52,105.56
  4. Step 4: Simplify right side
    102,052.56x = 7,977,084,034.42
  5. Step 5: Solve for x
    x = 7,977,084,034.42/102,052.56
  6. Step 6: Final answer
    x = 78,166.43

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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.