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Finding the Fourth Proportional to 200,725.31, 277,000.93 and 111,301.31

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Solution

The fourth proportional to 200,725.31, 277,000.93 and 111,301.31 is: 153,595.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,725.31 : 277,000.93 = 111,301.31 : x
  2. Step 2: Convert to fraction form
    200,725.31/277,000.93 = 111,301.31/x
  3. Step 3: Cross multiply
    200,725.31x = 277,000.93 × 111,301.31
  4. Step 4: Simplify right side
    200,725.31x = 30,830,567,211.85
  5. Step 5: Solve for x
    x = 30,830,567,211.85/200,725.31
  6. Step 6: Final answer
    x = 153,595.81

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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.