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Finding the Fourth Proportional to 105,660, 145,815.12 and 60,948

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Solution

The fourth proportional to 105,660, 145,815.12 and 60,948 is: 84,110.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,660 : 145,815.12 = 60,948 : x
  2. Step 2: Convert to fraction form
    105,660/145,815.12 = 60,948/x
  3. Step 3: Cross multiply
    105,660x = 145,815.12 × 60,948
  4. Step 4: Simplify right side
    105,660x = 8,887,139,933.76
  5. Step 5: Solve for x
    x = 8,887,139,933.76/105,660
  6. Step 6: Final answer
    x = 84,110.73

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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.