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Finding the Fourth Proportional to 114,160.94, 171,168.51 and 54,878.66

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Solution

The fourth proportional to 114,160.94, 171,168.51 and 54,878.66 is: 82,282.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,160.94 : 171,168.51 = 54,878.66 : x
  2. Step 2: Convert to fraction form
    114,160.94/171,168.51 = 54,878.66/x
  3. Step 3: Cross multiply
    114,160.94x = 171,168.51 × 54,878.66
  4. Step 4: Simplify right side
    114,160.94x = 9,393,498,463.00
  5. Step 5: Solve for x
    x = 9,393,498,463.00/114,160.94
  6. Step 6: Final answer
    x = 82,282.95

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1.5x scale

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.