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Finding the Fourth Proportional to 106,415.87, 146,860.29 and 58,668.98

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Solution

The fourth proportional to 106,415.87, 146,860.29 and 58,668.98 is: 80,966.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,415.87 : 146,860.29 = 58,668.98 : x
  2. Step 2: Convert to fraction form
    106,415.87/146,860.29 = 58,668.98/x
  3. Step 3: Cross multiply
    106,415.87x = 146,860.29 × 58,668.98
  4. Step 4: Simplify right side
    106,415.87x = 8,616,142,682.50
  5. Step 5: Solve for x
    x = 8,616,142,682.50/106,415.87
  6. Step 6: Final answer
    x = 80,966.71

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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.