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Finding the Fourth Proportional to 130,314.60, 195,536.70 and 51,431.40

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Solution

The fourth proportional to 130,314.60, 195,536.70 and 51,431.40 is: 77,172.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,314.60 : 195,536.70 = 51,431.40 : x
  2. Step 2: Convert to fraction form
    130,314.60/195,536.70 = 51,431.40/x
  3. Step 3: Cross multiply
    130,314.60x = 195,536.70 × 51,431.40
  4. Step 4: Simplify right side
    130,314.60x = 10,056,726,232.38
  5. Step 5: Solve for x
    x = 10,056,726,232.38/130,314.60
  6. Step 6: Final answer
    x = 77,172.67

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