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Finding the Fourth Proportional to 102,437, 141,363.06 and 55,333

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Solution

The fourth proportional to 102,437, 141,363.06 and 55,333 is: 76,359.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,437 : 141,363.06 = 55,333 : x
  2. Step 2: Convert to fraction form
    102,437/141,363.06 = 55,333/x
  3. Step 3: Cross multiply
    102,437x = 141,363.06 × 55,333
  4. Step 4: Simplify right side
    102,437x = 7,822,042,198.98
  5. Step 5: Solve for x
    x = 7,822,042,198.98/102,437
  6. Step 6: Final answer
    x = 76,359.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.