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Finding the Fourth Proportional to 209,920.68, 289,693.59 and 114,427.41

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Solution

The fourth proportional to 209,920.68, 289,693.59 and 114,427.41 is: 157,911.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,920.68 : 289,693.59 = 114,427.41 : x
  2. Step 2: Convert to fraction form
    209,920.68/289,693.59 = 114,427.41/x
  3. Step 3: Cross multiply
    209,920.68x = 289,693.59 × 114,427.41
  4. Step 4: Simplify right side
    209,920.68x = 33,148,887,197.30
  5. Step 5: Solve for x
    x = 33,148,887,197.30/209,920.68
  6. Step 6: Final answer
    x = 157,911.49

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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.