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Finding the Fourth Proportional to 181,289.80, 271,934.70 and 114,513.40

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Solution

The fourth proportional to 181,289.80, 271,934.70 and 114,513.40 is: 171,770.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,289.80 : 271,934.70 = 114,513.40 : x
  2. Step 2: Convert to fraction form
    181,289.80/271,934.70 = 114,513.40/x
  3. Step 3: Cross multiply
    181,289.80x = 271,934.70 × 114,513.40
  4. Step 4: Simplify right side
    181,289.80x = 31,140,167,074.98
  5. Step 5: Solve for x
    x = 31,140,167,074.98/181,289.80
  6. Step 6: Final answer
    x = 171,770.10

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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.