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Finding the Fourth Proportional to 209,577.36, 289,223.28 and 114,090.48

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Solution

The fourth proportional to 209,577.36, 289,223.28 and 114,090.48 is: 157,448.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,577.36 : 289,223.28 = 114,090.48 : x
  2. Step 2: Convert to fraction form
    209,577.36/289,223.28 = 114,090.48/x
  3. Step 3: Cross multiply
    209,577.36x = 289,223.28 × 114,090.48
  4. Step 4: Simplify right side
    209,577.36x = 32,997,622,842.37
  5. Step 5: Solve for x
    x = 32,997,622,842.37/209,577.36
  6. Step 6: Final answer
    x = 157,448.41

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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.