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Finding the Fourth Proportional to 209,857.39, 289,594.77 and 114,362.03

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Solution

The fourth proportional to 209,857.39, 289,594.77 and 114,362.03 is: 157,815.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,857.39 : 289,594.77 = 114,362.03 : x
  2. Step 2: Convert to fraction form
    209,857.39/289,594.77 = 114,362.03/x
  3. Step 3: Cross multiply
    209,857.39x = 289,594.77 × 114,362.03
  4. Step 4: Simplify right side
    209,857.39x = 33,118,645,774.58
  5. Step 5: Solve for x
    x = 33,118,645,774.58/209,857.39
  6. Step 6: Final answer
    x = 157,815.01

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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.