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Finding the Fourth Proportional to 209,516.77, 289,127.60 and 114,021.41

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Solution

The fourth proportional to 209,516.77, 289,127.60 and 114,021.41 is: 157,346.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,516.77 : 289,127.60 = 114,021.41 : x
  2. Step 2: Convert to fraction form
    209,516.77/289,127.60 = 114,021.41/x
  3. Step 3: Cross multiply
    209,516.77x = 289,127.60 × 114,021.41
  4. Step 4: Simplify right side
    209,516.77x = 32,966,736,774.63
  5. Step 5: Solve for x
    x = 32,966,736,774.63/209,516.77
  6. Step 6: Final answer
    x = 157,346.53

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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.