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Finding the Fourth Proportional to 199,655.86, 275,425.62 and 119,026.57

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Solution

The fourth proportional to 199,655.86, 275,425.62 and 119,026.57 is: 164,197.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,655.86 : 275,425.62 = 119,026.57 : x
  2. Step 2: Convert to fraction form
    199,655.86/275,425.62 = 119,026.57/x
  3. Step 3: Cross multiply
    199,655.86x = 275,425.62 × 119,026.57
  4. Step 4: Simplify right side
    199,655.86x = 32,782,966,838.72
  5. Step 5: Solve for x
    x = 32,782,966,838.72/199,655.86
  6. Step 6: Final answer
    x = 164,197.37

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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.