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Finding the Fourth Proportional to 209,790.68, 289,508.43 and 114,297.45

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Solution

The fourth proportional to 209,790.68, 289,508.43 and 114,297.45 is: 157,729.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,790.68 : 289,508.43 = 114,297.45 : x
  2. Step 2: Convert to fraction form
    209,790.68/289,508.43 = 114,297.45/x
  3. Step 3: Cross multiply
    209,790.68x = 289,508.43 × 114,297.45
  4. Step 4: Simplify right side
    209,790.68x = 33,090,074,002.54
  5. Step 5: Solve for x
    x = 33,090,074,002.54/209,790.68
  6. Step 6: Final answer
    x = 157,729.00

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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.