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Finding the Fourth Proportional to 186,821.98, 257,746.98 and 143,814.63

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Solution

The fourth proportional to 186,821.98, 257,746.98 and 143,814.63 is: 198,412.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,821.98 : 257,746.98 = 143,814.63 : x
  2. Step 2: Convert to fraction form
    186,821.98/257,746.98 = 143,814.63/x
  3. Step 3: Cross multiply
    186,821.98x = 257,746.98 × 143,814.63
  4. Step 4: Simplify right side
    186,821.98x = 37,067,785,198.88
  5. Step 5: Solve for x
    x = 37,067,785,198.88/186,821.98
  6. Step 6: Final answer
    x = 198,412.33

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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.