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Finding the Fourth Proportional to 114,529.71, 171,653.34 and 83,047.86

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Solution

The fourth proportional to 114,529.71, 171,653.34 and 83,047.86 is: 124,469.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,529.71 : 171,653.34 = 83,047.86 : x
  2. Step 2: Convert to fraction form
    114,529.71/171,653.34 = 83,047.86/x
  3. Step 3: Cross multiply
    114,529.71x = 171,653.34 × 83,047.86
  4. Step 4: Simplify right side
    114,529.71x = 14,255,442,548.85
  5. Step 5: Solve for x
    x = 14,255,442,548.85/114,529.71
  6. Step 6: Final answer
    x = 124,469.38

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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.