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Finding the Fourth Proportional to 106,406.58, 146,841.53 and 58,658.88

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Solution

The fourth proportional to 106,406.58, 146,841.53 and 58,658.88 is: 80,949.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,406.58 : 146,841.53 = 58,658.88 : x
  2. Step 2: Convert to fraction form
    106,406.58/146,841.53 = 58,658.88/x
  3. Step 3: Cross multiply
    106,406.58x = 146,841.53 × 58,658.88
  4. Step 4: Simplify right side
    106,406.58x = 8,613,559,393.99
  5. Step 5: Solve for x
    x = 8,613,559,393.99/106,406.58
  6. Step 6: Final answer
    x = 80,949.50

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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.