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Finding the Fourth Proportional to 103,698.20, 143,106.24 and 58,377.80

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Solution

The fourth proportional to 103,698.20, 143,106.24 and 58,377.80 is: 80,562.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,698.20 : 143,106.24 = 58,377.80 : x
  2. Step 2: Convert to fraction form
    103,698.20/143,106.24 = 58,377.80/x
  3. Step 3: Cross multiply
    103,698.20x = 143,106.24 × 58,377.80
  4. Step 4: Simplify right side
    103,698.20x = 8,354,227,457.47
  5. Step 5: Solve for x
    x = 8,354,227,457.47/103,698.20
  6. Step 6: Final answer
    x = 80,562.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.