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Finding the Fourth Proportional to 114,477.82, 171,782.25 and 89,447.74

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Solution

The fourth proportional to 114,477.82, 171,782.25 and 89,447.74 is: 134,222.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,477.82 : 171,782.25 = 89,447.74 : x
  2. Step 2: Convert to fraction form
    114,477.82/171,782.25 = 89,447.74/x
  3. Step 3: Cross multiply
    114,477.82x = 171,782.25 × 89,447.74
  4. Step 4: Simplify right side
    114,477.82x = 15,365,534,034.62
  5. Step 5: Solve for x
    x = 15,365,534,034.62/114,477.82
  6. Step 6: Final answer
    x = 134,222.80

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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.