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Finding the Fourth Proportional to 209,890.84, 289,655.46 and 114,403.72

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Solution

The fourth proportional to 209,890.84, 289,655.46 and 114,403.72 is: 157,880.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,890.84 : 289,655.46 = 114,403.72 : x
  2. Step 2: Convert to fraction form
    209,890.84/289,655.46 = 114,403.72/x
  3. Step 3: Cross multiply
    209,890.84x = 289,655.46 × 114,403.72
  4. Step 4: Simplify right side
    209,890.84x = 33,137,662,142.31
  5. Step 5: Solve for x
    x = 33,137,662,142.31/209,890.84
  6. Step 6: Final answer
    x = 157,880.46

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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.