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Finding the Fourth Proportional to 191,686.98, 264,529.77 and 105,649.02

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Solution

The fourth proportional to 191,686.98, 264,529.77 and 105,649.02 is: 145,796.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,686.98 : 264,529.77 = 105,649.02 : x
  2. Step 2: Convert to fraction form
    191,686.98/264,529.77 = 105,649.02/x
  3. Step 3: Cross multiply
    191,686.98x = 264,529.77 × 105,649.02
  4. Step 4: Simplify right side
    191,686.98x = 27,947,310,961.33
  5. Step 5: Solve for x
    x = 27,947,310,961.33/191,686.98
  6. Step 6: Final answer
    x = 145,796.61

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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.