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Finding the Fourth Proportional to 114,859.84, 172,185.96 and 40,970.56

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Solution

The fourth proportional to 114,859.84, 172,185.96 and 40,970.56 is: 61,418.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,859.84 : 172,185.96 = 40,970.56 : x
  2. Step 2: Convert to fraction form
    114,859.84/172,185.96 = 40,970.56/x
  3. Step 3: Cross multiply
    114,859.84x = 172,185.96 × 40,970.56
  4. Step 4: Simplify right side
    114,859.84x = 7,054,555,205.34
  5. Step 5: Solve for x
    x = 7,054,555,205.34/114,859.84
  6. Step 6: Final answer
    x = 61,418.81

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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.