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Finding the Fourth Proportional to 102,083.50, 153,156.30 and 52,198.62

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Solution

The fourth proportional to 102,083.50, 153,156.30 and 52,198.62 is: 78,313.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,083.50 : 153,156.30 = 52,198.62 : x
  2. Step 2: Convert to fraction form
    102,083.50/153,156.30 = 52,198.62/x
  3. Step 3: Cross multiply
    102,083.50x = 153,156.30 × 52,198.62
  4. Step 4: Simplify right side
    102,083.50x = 7,994,547,504.31
  5. Step 5: Solve for x
    x = 7,994,547,504.31/102,083.50
  6. Step 6: Final answer
    x = 78,313.81

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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.