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Finding the Fourth Proportional to 130,358.88, 179,792.64 and 82,566

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Solution

The fourth proportional to 130,358.88, 179,792.64 and 82,566 is: 113,876.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,358.88 : 179,792.64 = 82,566 : x
  2. Step 2: Convert to fraction form
    130,358.88/179,792.64 = 82,566/x
  3. Step 3: Cross multiply
    130,358.88x = 179,792.64 × 82,566
  4. Step 4: Simplify right side
    130,358.88x = 14,844,759,114.24
  5. Step 5: Solve for x
    x = 14,844,759,114.24/130,358.88
  6. Step 6: Final answer
    x = 113,876.09

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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.