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Finding the Fourth Proportional to 200,792.72, 277,047.44 and 120,189.60

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Solution

The fourth proportional to 200,792.72, 277,047.44 and 120,189.60 is: 165,833.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,792.72 : 277,047.44 = 120,189.60 : x
  2. Step 2: Convert to fraction form
    200,792.72/277,047.44 = 120,189.60/x
  3. Step 3: Cross multiply
    200,792.72x = 277,047.44 × 120,189.60
  4. Step 4: Simplify right side
    200,792.72x = 33,298,220,994.62
  5. Step 5: Solve for x
    x = 33,298,220,994.62/200,792.72
  6. Step 6: Final answer
    x = 165,833.81

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1.5x scale

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.