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Finding the Fourth Proportional to 114,257.58, 171,384.51 and 31,151.58

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Solution

The fourth proportional to 114,257.58, 171,384.51 and 31,151.58 is: 46,726.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,257.58 : 171,384.51 = 31,151.58 : x
  2. Step 2: Convert to fraction form
    114,257.58/171,384.51 = 31,151.58/x
  3. Step 3: Cross multiply
    114,257.58x = 171,384.51 × 31,151.58
  4. Step 4: Simplify right side
    114,257.58x = 5,338,898,274.03
  5. Step 5: Solve for x
    x = 5,338,898,274.03/114,257.58
  6. Step 6: Final answer
    x = 46,726.86

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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.