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Finding the Fourth Proportional to 114,137, 171,283.26 and 40,265

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Solution

The fourth proportional to 114,137, 171,283.26 and 40,265 is: 60,424.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,137 : 171,283.26 = 40,265 : x
  2. Step 2: Convert to fraction form
    114,137/171,283.26 = 40,265/x
  3. Step 3: Cross multiply
    114,137x = 171,283.26 × 40,265
  4. Step 4: Simplify right side
    114,137x = 6,896,720,463.90
  5. Step 5: Solve for x
    x = 6,896,720,463.90/114,137
  6. Step 6: Final answer
    x = 60,424.93

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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.