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Finding the Fourth Proportional to 106,415.34, 146,859.78 and 58,668.61

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Solution

The fourth proportional to 106,415.34, 146,859.78 and 58,668.61 is: 80,966.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,415.34 : 146,859.78 = 58,668.61 : x
  2. Step 2: Convert to fraction form
    106,415.34/146,859.78 = 58,668.61/x
  3. Step 3: Cross multiply
    106,415.34x = 146,859.78 × 58,668.61
  4. Step 4: Simplify right side
    106,415.34x = 8,616,059,157.51
  5. Step 5: Solve for x
    x = 8,616,059,157.51/106,415.34
  6. Step 6: Final answer
    x = 80,966.33

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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.