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Finding the Fourth Proportional to 105,704.58, 145,871.23 and 57,957.85

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Solution

The fourth proportional to 105,704.58, 145,871.23 and 57,957.85 is: 79,981.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,704.58 : 145,871.23 = 57,957.85 : x
  2. Step 2: Convert to fraction form
    105,704.58/145,871.23 = 57,957.85/x
  3. Step 3: Cross multiply
    105,704.58x = 145,871.23 × 57,957.85
  4. Step 4: Simplify right side
    105,704.58x = 8,454,381,848.51
  5. Step 5: Solve for x
    x = 8,454,381,848.51/105,704.58
  6. Step 6: Final answer
    x = 79,981.23

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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.