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Finding the Fourth Proportional to 277,148.66, 382,465.40 and 149,824.22

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Solution

The fourth proportional to 277,148.66, 382,465.40 and 149,824.22 is: 206,757.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,148.66 : 382,465.40 = 149,824.22 : x
  2. Step 2: Convert to fraction form
    277,148.66/382,465.40 = 149,824.22/x
  3. Step 3: Cross multiply
    277,148.66x = 382,465.40 × 149,824.22
  4. Step 4: Simplify right side
    277,148.66x = 57,302,577,570.54
  5. Step 5: Solve for x
    x = 57,302,577,570.54/277,148.66
  6. Step 6: Final answer
    x = 206,757.55

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