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Finding the Fourth Proportional to 199,488, 275,293.44 and 110,064

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Solution

The fourth proportional to 199,488, 275,293.44 and 110,064 is: 151,888.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,488 : 275,293.44 = 110,064 : x
  2. Step 2: Convert to fraction form
    199,488/275,293.44 = 110,064/x
  3. Step 3: Cross multiply
    199,488x = 275,293.44 × 110,064
  4. Step 4: Simplify right side
    199,488x = 30,299,897,180.16
  5. Step 5: Solve for x
    x = 30,299,897,180.16/199,488
  6. Step 6: Final answer
    x = 151,888.32

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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.