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Finding the Fourth Proportional to 107,782.96, 148,738.44 and 67,518.93

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Solution

The fourth proportional to 107,782.96, 148,738.44 and 67,518.93 is: 93,174.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,782.96 : 148,738.44 = 67,518.93 : x
  2. Step 2: Convert to fraction form
    107,782.96/148,738.44 = 67,518.93/x
  3. Step 3: Cross multiply
    107,782.96x = 148,738.44 × 67,518.93
  4. Step 4: Simplify right side
    107,782.96x = 10,042,659,981.07
  5. Step 5: Solve for x
    x = 10,042,659,981.07/107,782.96
  6. Step 6: Final answer
    x = 93,174.84

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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.