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Finding the Fourth Proportional to 102,180, 140,986.92 and 59,730.24

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Solution

The fourth proportional to 102,180, 140,986.92 and 59,730.24 is: 82,415.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,180 : 140,986.92 = 59,730.24 : x
  2. Step 2: Convert to fraction form
    102,180/140,986.92 = 59,730.24/x
  3. Step 3: Cross multiply
    102,180x = 140,986.92 × 59,730.24
  4. Step 4: Simplify right side
    102,180x = 8,421,182,568.46
  5. Step 5: Solve for x
    x = 8,421,182,568.46/102,180
  6. Step 6: Final answer
    x = 82,415.17

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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.