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Finding the Fourth Proportional to 180,894.78, 271,303.02 and 114,245.82

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Solution

The fourth proportional to 180,894.78, 271,303.02 and 114,245.82 is: 171,344.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,894.78 : 271,303.02 = 114,245.82 : x
  2. Step 2: Convert to fraction form
    180,894.78/271,303.02 = 114,245.82/x
  3. Step 3: Cross multiply
    180,894.78x = 271,303.02 × 114,245.82
  4. Step 4: Simplify right side
    180,894.78x = 30,995,235,988.38
  5. Step 5: Solve for x
    x = 30,995,235,988.38/180,894.78
  6. Step 6: Final answer
    x = 171,344.00

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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.