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Finding the Fourth Proportional to 107,847.94, 148,830.30 and 60,100.24

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Solution

The fourth proportional to 107,847.94, 148,830.30 and 60,100.24 is: 82,938.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,847.94 : 148,830.30 = 60,100.24 : x
  2. Step 2: Convert to fraction form
    107,847.94/148,830.30 = 60,100.24/x
  3. Step 3: Cross multiply
    107,847.94x = 148,830.30 × 60,100.24
  4. Step 4: Simplify right side
    107,847.94x = 8,944,736,749.27
  5. Step 5: Solve for x
    x = 8,944,736,749.27/107,847.94
  6. Step 6: Final answer
    x = 82,938.41

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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.