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Finding the Fourth Proportional to 130,284.30, 195,754.50 and 82,921.18

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Solution

The fourth proportional to 130,284.30, 195,754.50 and 82,921.18 is: 124,590.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,284.30 : 195,754.50 = 82,921.18 : x
  2. Step 2: Convert to fraction form
    130,284.30/195,754.50 = 82,921.18/x
  3. Step 3: Cross multiply
    130,284.30x = 195,754.50 × 82,921.18
  4. Step 4: Simplify right side
    130,284.30x = 16,232,194,130.31
  5. Step 5: Solve for x
    x = 16,232,194,130.31/130,284.30
  6. Step 6: Final answer
    x = 124,590.56

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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.