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Finding the Fourth Proportional to 130,634.21, 180,274.37 and 71,018.21

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Solution

The fourth proportional to 130,634.21, 180,274.37 and 71,018.21 is: 98,004.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,634.21 : 180,274.37 = 71,018.21 : x
  2. Step 2: Convert to fraction form
    130,634.21/180,274.37 = 71,018.21/x
  3. Step 3: Cross multiply
    130,634.21x = 180,274.37 × 71,018.21
  4. Step 4: Simplify right side
    130,634.21x = 12,802,762,711.19
  5. Step 5: Solve for x
    x = 12,802,762,711.19/130,634.21
  6. Step 6: Final answer
    x = 98,004.67

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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.