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Finding the Fourth Proportional to 277,284.34, 382,652.40 and 149,959.90

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Solution

The fourth proportional to 277,284.34, 382,652.40 and 149,959.90 is: 206,944.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,284.34 : 382,652.40 = 149,959.90 : x
  2. Step 2: Convert to fraction form
    277,284.34/382,652.40 = 149,959.90/x
  3. Step 3: Cross multiply
    277,284.34x = 382,652.40 × 149,959.90
  4. Step 4: Simplify right side
    277,284.34x = 57,382,515,638.76
  5. Step 5: Solve for x
    x = 57,382,515,638.76/277,284.34
  6. Step 6: Final answer
    x = 206,944.67

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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.