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Finding the Fourth Proportional to 277,295.34, 382,667.58 and 149,970.94

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Solution

The fourth proportional to 277,295.34, 382,667.58 and 149,970.94 is: 206,959.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,295.34 : 382,667.58 = 149,970.94 : x
  2. Step 2: Convert to fraction form
    277,295.34/382,667.58 = 149,970.94/x
  3. Step 3: Cross multiply
    277,295.34x = 382,667.58 × 149,970.94
  4. Step 4: Simplify right side
    277,295.34x = 57,389,016,680.13
  5. Step 5: Solve for x
    x = 57,389,016,680.13/277,295.34
  6. Step 6: Final answer
    x = 206,959.90

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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.