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Finding the Fourth Proportional to 106,357.69, 146,771.73 and 57,960.05

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Solution

The fourth proportional to 106,357.69, 146,771.73 and 57,960.05 is: 79,983.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,357.69 : 146,771.73 = 57,960.05 : x
  2. Step 2: Convert to fraction form
    106,357.69/146,771.73 = 57,960.05/x
  3. Step 3: Cross multiply
    106,357.69x = 146,771.73 × 57,960.05
  4. Step 4: Simplify right side
    106,357.69x = 8,506,896,809.39
  5. Step 5: Solve for x
    x = 8,506,896,809.39/106,357.69
  6. Step 6: Final answer
    x = 79,983.84

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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.