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Finding the Fourth Proportional to 193,047.80, 289,436.70 and 114,121.40

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Solution

The fourth proportional to 193,047.80, 289,436.70 and 114,121.40 is: 171,102.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,047.80 : 289,436.70 = 114,121.40 : x
  2. Step 2: Convert to fraction form
    193,047.80/289,436.70 = 114,121.40/x
  3. Step 3: Cross multiply
    193,047.80x = 289,436.70 × 114,121.40
  4. Step 4: Simplify right side
    193,047.80x = 33,030,921,415.38
  5. Step 5: Solve for x
    x = 33,030,921,415.38/193,047.80
  6. Step 6: Final answer
    x = 171,102.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.