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Finding the Fourth Proportional to 105,989.82, 146,265.84 and 58,246.20

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Solution

The fourth proportional to 105,989.82, 146,265.84 and 58,246.20 is: 80,379.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,989.82 : 146,265.84 = 58,246.20 : x
  2. Step 2: Convert to fraction form
    105,989.82/146,265.84 = 58,246.20/x
  3. Step 3: Cross multiply
    105,989.82x = 146,265.84 × 58,246.20
  4. Step 4: Simplify right side
    105,989.82x = 8,519,429,369.81
  5. Step 5: Solve for x
    x = 8,519,429,369.81/105,989.82
  6. Step 6: Final answer
    x = 80,379.69

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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.