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Finding the Fourth Proportional to 149,055.46, 205,696.38 and 85,393.51

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Solution

The fourth proportional to 149,055.46, 205,696.38 and 85,393.51 is: 117,842.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,055.46 : 205,696.38 = 85,393.51 : x
  2. Step 2: Convert to fraction form
    149,055.46/205,696.38 = 85,393.51/x
  3. Step 3: Cross multiply
    149,055.46x = 205,696.38 × 85,393.51
  4. Step 4: Simplify right side
    149,055.46x = 17,565,135,368.25
  5. Step 5: Solve for x
    x = 17,565,135,368.25/149,055.46
  6. Step 6: Final answer
    x = 117,842.95

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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.