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Finding the Fourth Proportional to 209,860.32, 289,603.36 and 114,367.68

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Solution

The fourth proportional to 209,860.32, 289,603.36 and 114,367.68 is: 157,825.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,860.32 : 289,603.36 = 114,367.68 : x
  2. Step 2: Convert to fraction form
    209,860.32/289,603.36 = 114,367.68/x
  3. Step 3: Cross multiply
    209,860.32x = 289,603.36 × 114,367.68
  4. Step 4: Simplify right side
    209,860.32x = 33,121,264,403.40
  5. Step 5: Solve for x
    x = 33,121,264,403.40/209,860.32
  6. Step 6: Final answer
    x = 157,825.28

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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.