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Finding the Fourth Proportional to 209,867.36, 289,616.45 and 114,373.89

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Solution

The fourth proportional to 209,867.36, 289,616.45 and 114,373.89 is: 157,835.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,867.36 : 289,616.45 = 114,373.89 : x
  2. Step 2: Convert to fraction form
    209,867.36/289,616.45 = 114,373.89/x
  3. Step 3: Cross multiply
    209,867.36x = 289,616.45 × 114,373.89
  4. Step 4: Simplify right side
    209,867.36x = 33,124,559,422.62
  5. Step 5: Solve for x
    x = 33,124,559,422.62/209,867.36
  6. Step 6: Final answer
    x = 157,835.69

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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.