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Finding the Fourth Proportional to 201,292.40, 277,742.04 and 120,698.48

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Solution

The fourth proportional to 201,292.40, 277,742.04 and 120,698.48 is: 166,539.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,292.40 : 277,742.04 = 120,698.48 : x
  2. Step 2: Convert to fraction form
    201,292.40/277,742.04 = 120,698.48/x
  3. Step 3: Cross multiply
    201,292.40x = 277,742.04 × 120,698.48
  4. Step 4: Simplify right side
    201,292.40x = 33,523,042,060.10
  5. Step 5: Solve for x
    x = 33,523,042,060.10/201,292.40
  6. Step 6: Final answer
    x = 166,539.04

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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.