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Finding the Fourth Proportional to 200,735.84, 277,015.47 and 111,311.84

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Solution

The fourth proportional to 200,735.84, 277,015.47 and 111,311.84 is: 153,610.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,735.84 : 277,015.47 = 111,311.84 : x
  2. Step 2: Convert to fraction form
    200,735.84/277,015.47 = 111,311.84/x
  3. Step 3: Cross multiply
    200,735.84x = 277,015.47 × 111,311.84
  4. Step 4: Simplify right side
    200,735.84x = 30,835,101,674.16
  5. Step 5: Solve for x
    x = 30,835,101,674.16/200,735.84
  6. Step 6: Final answer
    x = 153,610.35

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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.