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Finding the Fourth Proportional to 102,087, 153,161.55 and 52,202.12

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Solution

The fourth proportional to 102,087, 153,161.55 and 52,202.12 is: 78,319.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,087 : 153,161.55 = 52,202.12 : x
  2. Step 2: Convert to fraction form
    102,087/153,161.55 = 52,202.12/x
  3. Step 3: Cross multiply
    102,087x = 153,161.55 × 52,202.12
  4. Step 4: Simplify right side
    102,087x = 7,995,356,846.68
  5. Step 5: Solve for x
    x = 7,995,356,846.68/102,087
  6. Step 6: Final answer
    x = 78,319.05

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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.