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Finding the Fourth Proportional to 199,648.01, 275,638.61 and 127,091.86

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Solution

The fourth proportional to 199,648.01, 275,638.61 and 127,091.86 is: 175,465.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,648.01 : 275,638.61 = 127,091.86 : x
  2. Step 2: Convert to fraction form
    199,648.01/275,638.61 = 127,091.86/x
  3. Step 3: Cross multiply
    199,648.01x = 275,638.61 × 127,091.86
  4. Step 4: Simplify right side
    199,648.01x = 35,031,423,261.35
  5. Step 5: Solve for x
    x = 35,031,423,261.35/199,648.01
  6. Step 6: Final answer
    x = 175,465.93

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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.