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Finding the Fourth Proportional to 199,762.61, 275,670.76 and 109,118.60

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Solution

The fourth proportional to 199,762.61, 275,670.76 and 109,118.60 is: 150,582.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,762.61 : 275,670.76 = 109,118.60 : x
  2. Step 2: Convert to fraction form
    199,762.61/275,670.76 = 109,118.60/x
  3. Step 3: Cross multiply
    199,762.61x = 275,670.76 × 109,118.60
  4. Step 4: Simplify right side
    199,762.61x = 30,080,805,468.19
  5. Step 5: Solve for x
    x = 30,080,805,468.19/199,762.61
  6. Step 6: Final answer
    x = 150,582.77

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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.