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Finding the Fourth Proportional to 130,460.49, 180,003.06 and 82,696.41

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Solution

The fourth proportional to 130,460.49, 180,003.06 and 82,696.41 is: 114,100.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,460.49 : 180,003.06 = 82,696.41 : x
  2. Step 2: Convert to fraction form
    130,460.49/180,003.06 = 82,696.41/x
  3. Step 3: Cross multiply
    130,460.49x = 180,003.06 × 82,696.41
  4. Step 4: Simplify right side
    130,460.49x = 14,885,606,851.01
  5. Step 5: Solve for x
    x = 14,885,606,851.01/130,460.49
  6. Step 6: Final answer
    x = 114,100.50

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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.