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Finding the Fourth Proportional to 130,633.96, 180,274.02 and 71,017.96

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Solution

The fourth proportional to 130,633.96, 180,274.02 and 71,017.96 is: 98,004.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,633.96 : 180,274.02 = 71,017.96 : x
  2. Step 2: Convert to fraction form
    130,633.96/180,274.02 = 71,017.96/x
  3. Step 3: Cross multiply
    130,633.96x = 180,274.02 × 71,017.96
  4. Step 4: Simplify right side
    130,633.96x = 12,802,693,141.40
  5. Step 5: Solve for x
    x = 12,802,693,141.40/130,633.96
  6. Step 6: Final answer
    x = 98,004.33

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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.