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Finding the Fourth Proportional to 149,014.82, 205,716.60 and 114,946.82

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Solution

The fourth proportional to 149,014.82, 205,716.60 and 114,946.82 is: 158,685.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,014.82 : 205,716.60 = 114,946.82 : x
  2. Step 2: Convert to fraction form
    149,014.82/205,716.60 = 114,946.82/x
  3. Step 3: Cross multiply
    149,014.82x = 205,716.60 × 114,946.82
  4. Step 4: Simplify right side
    149,014.82x = 23,646,467,962.63
  5. Step 5: Solve for x
    x = 23,646,467,962.63/149,014.82
  6. Step 6: Final answer
    x = 158,685.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.