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Finding the Fourth Proportional to 130,480.34, 180,059.81 and 76,768.83

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Solution

The fourth proportional to 130,480.34, 180,059.81 and 76,768.83 is: 105,939.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,480.34 : 180,059.81 = 76,768.83 : x
  2. Step 2: Convert to fraction form
    130,480.34/180,059.81 = 76,768.83/x
  3. Step 3: Cross multiply
    130,480.34x = 180,059.81 × 76,768.83
  4. Step 4: Simplify right side
    130,480.34x = 13,822,980,559.88
  5. Step 5: Solve for x
    x = 13,822,980,559.88/130,480.34
  6. Step 6: Final answer
    x = 105,939.19

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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.