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Finding the Fourth Proportional to 209,610.51, 289,253.43 and 114,117.54

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Solution

The fourth proportional to 209,610.51, 289,253.43 and 114,117.54 is: 157,477.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,610.51 : 289,253.43 = 114,117.54 : x
  2. Step 2: Convert to fraction form
    209,610.51/289,253.43 = 114,117.54/x
  3. Step 3: Cross multiply
    209,610.51x = 289,253.43 × 114,117.54
  4. Step 4: Simplify right side
    209,610.51x = 33,008,889,868.16
  5. Step 5: Solve for x
    x = 33,008,889,868.16/209,610.51
  6. Step 6: Final answer
    x = 157,477.27

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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.