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Finding the Fourth Proportional to 105,705, 145,859.54 and 57,945.78

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Solution

The fourth proportional to 105,705, 145,859.54 and 57,945.78 is: 79,957.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,705 : 145,859.54 = 57,945.78 : x
  2. Step 2: Convert to fraction form
    105,705/145,859.54 = 57,945.78/x
  3. Step 3: Cross multiply
    105,705x = 145,859.54 × 57,945.78
  4. Step 4: Simplify right side
    105,705x = 8,451,944,526.01
  5. Step 5: Solve for x
    x = 8,451,944,526.01/105,705
  6. Step 6: Final answer
    x = 79,957.85

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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.