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Finding the Fourth Proportional to 114,616.33, 171,700.84 and 75,053.50

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Solution

The fourth proportional to 114,616.33, 171,700.84 and 75,053.50 is: 112,433.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,616.33 : 171,700.84 = 75,053.50 : x
  2. Step 2: Convert to fraction form
    114,616.33/171,700.84 = 75,053.50/x
  3. Step 3: Cross multiply
    114,616.33x = 171,700.84 × 75,053.50
  4. Step 4: Simplify right side
    114,616.33x = 12,886,749,080.24
  5. Step 5: Solve for x
    x = 12,886,749,080.24/114,616.33
  6. Step 6: Final answer
    x = 112,433.80

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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.