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Finding the Fourth Proportional to 102,415.32, 153,517.43 and 39,218.18

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Solution

The fourth proportional to 102,415.32, 153,517.43 and 39,218.18 is: 58,786.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,415.32 : 153,517.43 = 39,218.18 : x
  2. Step 2: Convert to fraction form
    102,415.32/153,517.43 = 39,218.18/x
  3. Step 3: Cross multiply
    102,415.32x = 153,517.43 × 39,218.18
  4. Step 4: Simplify right side
    102,415.32x = 6,020,673,239.20
  5. Step 5: Solve for x
    x = 6,020,673,239.20/102,415.32
  6. Step 6: Final answer
    x = 58,786.84

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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.