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Finding the Fourth Proportional to 201,825.09, 278,515.13 and 116,950.05

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Solution

The fourth proportional to 201,825.09, 278,515.13 and 116,950.05 is: 161,389.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,825.09 : 278,515.13 = 116,950.05 : x
  2. Step 2: Convert to fraction form
    201,825.09/278,515.13 = 116,950.05/x
  3. Step 3: Cross multiply
    201,825.09x = 278,515.13 × 116,950.05
  4. Step 4: Simplify right side
    201,825.09x = 32,572,357,794.51
  5. Step 5: Solve for x
    x = 32,572,357,794.51/201,825.09
  6. Step 6: Final answer
    x = 161,389.04

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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.