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Finding the Fourth Proportional to 209,443.15, 289,032.81 and 113,950.53

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Solution

The fourth proportional to 209,443.15, 289,032.81 and 113,950.53 is: 157,252.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,443.15 : 289,032.81 = 113,950.53 : x
  2. Step 2: Convert to fraction form
    209,443.15/289,032.81 = 113,950.53/x
  3. Step 3: Cross multiply
    209,443.15x = 289,032.81 × 113,950.53
  4. Step 4: Simplify right side
    209,443.15x = 32,935,441,459.57
  5. Step 5: Solve for x
    x = 32,935,441,459.57/209,443.15
  6. Step 6: Final answer
    x = 157,252.42

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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.