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Finding the Fourth Proportional to 306,610.94, 459,972.12 and 126,696.80

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Solution

The fourth proportional to 306,610.94, 459,972.12 and 126,696.80 is: 190,068.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,610.94 : 459,972.12 = 126,696.80 : x
  2. Step 2: Convert to fraction form
    306,610.94/459,972.12 = 126,696.80/x
  3. Step 3: Cross multiply
    306,610.94x = 459,972.12 × 126,696.80
  4. Step 4: Simplify right side
    306,610.94x = 58,276,995,693.22
  5. Step 5: Solve for x
    x = 58,276,995,693.22/306,610.94
  6. Step 6: Final answer
    x = 190,068.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.