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Finding the Fourth Proportional to 209,840.88, 289,580.28 and 114,347.46

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Solution

The fourth proportional to 209,840.88, 289,580.28 and 114,347.46 is: 157,799.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,840.88 : 289,580.28 = 114,347.46 : x
  2. Step 2: Convert to fraction form
    209,840.88/289,580.28 = 114,347.46/x
  3. Step 3: Cross multiply
    209,840.88x = 289,580.28 × 114,347.46
  4. Step 4: Simplify right side
    209,840.88x = 33,112,769,484.09
  5. Step 5: Solve for x
    x = 33,112,769,484.09/209,840.88
  6. Step 6: Final answer
    x = 157,799.42

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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.