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Finding the Fourth Proportional to 126,212.94, 174,192.63 and 83,185.86

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Solution

The fourth proportional to 126,212.94, 174,192.63 and 83,185.86 is: 114,808.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,212.94 : 174,192.63 = 83,185.86 : x
  2. Step 2: Convert to fraction form
    126,212.94/174,192.63 = 83,185.86/x
  3. Step 3: Cross multiply
    126,212.94x = 174,192.63 × 83,185.86
  4. Step 4: Simplify right side
    126,212.94x = 14,490,363,732.21
  5. Step 5: Solve for x
    x = 14,490,363,732.21/126,212.94
  6. Step 6: Final answer
    x = 114,808.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.