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Finding the Fourth Proportional to 103,802.26, 143,246.46 and 58,494.88

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Solution

The fourth proportional to 103,802.26, 143,246.46 and 58,494.88 is: 80,722.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,802.26 : 143,246.46 = 58,494.88 : x
  2. Step 2: Convert to fraction form
    103,802.26/143,246.46 = 58,494.88/x
  3. Step 3: Cross multiply
    103,802.26x = 143,246.46 × 58,494.88
  4. Step 4: Simplify right side
    103,802.26x = 8,379,184,488.12
  5. Step 5: Solve for x
    x = 8,379,184,488.12/103,802.26
  6. Step 6: Final answer
    x = 80,722.56

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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.