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Finding the Fourth Proportional to 102,218.37, 153,318.12 and 27,335.82

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Solution

The fourth proportional to 102,218.37, 153,318.12 and 27,335.82 is: 41,001.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,218.37 : 153,318.12 = 27,335.82 : x
  2. Step 2: Convert to fraction form
    102,218.37/153,318.12 = 27,335.82/x
  3. Step 3: Cross multiply
    102,218.37x = 153,318.12 × 27,335.82
  4. Step 4: Simplify right side
    102,218.37x = 4,191,076,531.06
  5. Step 5: Solve for x
    x = 4,191,076,531.06/102,218.37
  6. Step 6: Final answer
    x = 41,001.21

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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.