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Finding the Fourth Proportional to 200,807.16, 277,109.76 and 111,383.16

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Solution

The fourth proportional to 200,807.16, 277,109.76 and 111,383.16 is: 153,706.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,807.16 : 277,109.76 = 111,383.16 : x
  2. Step 2: Convert to fraction form
    200,807.16/277,109.76 = 111,383.16/x
  3. Step 3: Cross multiply
    200,807.16x = 277,109.76 × 111,383.16
  4. Step 4: Simplify right side
    200,807.16x = 30,865,360,735.64
  5. Step 5: Solve for x
    x = 30,865,360,735.64/200,807.16
  6. Step 6: Final answer
    x = 153,706.48

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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.