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Finding the Fourth Proportional to 105,704.74, 145,871.42 and 57,957.98

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Solution

The fourth proportional to 105,704.74, 145,871.42 and 57,957.98 is: 79,981.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,704.74 : 145,871.42 = 57,957.98 : x
  2. Step 2: Convert to fraction form
    105,704.74/145,871.42 = 57,957.98/x
  3. Step 3: Cross multiply
    105,704.74x = 145,871.42 × 57,957.98
  4. Step 4: Simplify right side
    105,704.74x = 8,454,412,842.93
  5. Step 5: Solve for x
    x = 8,454,412,842.93/105,704.74
  6. Step 6: Final answer
    x = 79,981.40

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Why These Related Problems?

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