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Finding the Fourth Proportional to 114,135, 171,280.26 and 40,263

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Solution

The fourth proportional to 114,135, 171,280.26 and 40,263 is: 60,421.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,135 : 171,280.26 = 40,263 : x
  2. Step 2: Convert to fraction form
    114,135/171,280.26 = 40,263/x
  3. Step 3: Cross multiply
    114,135x = 171,280.26 × 40,263
  4. Step 4: Simplify right side
    114,135x = 6,896,257,108.38
  5. Step 5: Solve for x
    x = 6,896,257,108.38/114,135
  6. Step 6: Final answer
    x = 60,421.93

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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.