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Finding the Fourth Proportional to 105,106, 145,049.34 and 57,362.40

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Solution

The fourth proportional to 105,106, 145,049.34 and 57,362.40 is: 79,161.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,106 : 145,049.34 = 57,362.40 : x
  2. Step 2: Convert to fraction form
    105,106/145,049.34 = 57,362.40/x
  3. Step 3: Cross multiply
    105,106x = 145,049.34 × 57,362.40
  4. Step 4: Simplify right side
    105,106x = 8,320,378,260.82
  5. Step 5: Solve for x
    x = 8,320,378,260.82/105,106
  6. Step 6: Final answer
    x = 79,161.78

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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.