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Finding the Fourth Proportional to 199,670.57, 275,543.99 and 109,026.50

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Solution

The fourth proportional to 199,670.57, 275,543.99 and 109,026.50 is: 150,455.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,670.57 : 275,543.99 = 109,026.50 : x
  2. Step 2: Convert to fraction form
    199,670.57/275,543.99 = 109,026.50/x
  3. Step 3: Cross multiply
    199,670.57x = 275,543.99 × 109,026.50
  4. Step 4: Simplify right side
    199,670.57x = 30,041,596,825.74
  5. Step 5: Solve for x
    x = 30,041,596,825.74/199,670.57
  6. Step 6: Final answer
    x = 150,455.81

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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.