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Finding the Fourth Proportional to 106,341, 146,750.63 and 57,942.69

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Solution

The fourth proportional to 106,341, 146,750.63 and 57,942.69 is: 79,960.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,341 : 146,750.63 = 57,942.69 : x
  2. Step 2: Convert to fraction form
    106,341/146,750.63 = 57,942.69/x
  3. Step 3: Cross multiply
    106,341x = 146,750.63 × 57,942.69
  4. Step 4: Simplify right side
    106,341x = 8,503,126,261.39
  5. Step 5: Solve for x
    x = 8,503,126,261.39/106,341
  6. Step 6: Final answer
    x = 79,960.94

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1.5x scale

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.