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Finding the Fourth Proportional to 231,128, 318,982.56 and 130,532.48

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Solution

The fourth proportional to 231,128, 318,982.56 and 130,532.48 is: 180,149.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,128 : 318,982.56 = 130,532.48 : x
  2. Step 2: Convert to fraction form
    231,128/318,982.56 = 130,532.48/x
  3. Step 3: Cross multiply
    231,128x = 318,982.56 × 130,532.48
  4. Step 4: Simplify right side
    231,128x = 41,637,584,633.55
  5. Step 5: Solve for x
    x = 41,637,584,633.55/231,128
  6. Step 6: Final answer
    x = 180,149.46

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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.