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Finding the Fourth Proportional to 102,055.56, 153,099.18 and 52,108.56

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Solution

The fourth proportional to 102,055.56, 153,099.18 and 52,108.56 is: 78,170.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,055.56 : 153,099.18 = 52,108.56 : x
  2. Step 2: Convert to fraction form
    102,055.56/153,099.18 = 52,108.56/x
  3. Step 3: Cross multiply
    102,055.56x = 153,099.18 × 52,108.56
  4. Step 4: Simplify right side
    102,055.56x = 7,977,777,806.98
  5. Step 5: Solve for x
    x = 7,977,777,806.98/102,055.56
  6. Step 6: Final answer
    x = 78,170.93

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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.