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Finding the Fourth Proportional to 102,196.49, 153,288.41 and 38,142.16

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Solution

The fourth proportional to 102,196.49, 153,288.41 and 38,142.16 is: 57,210.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,196.49 : 153,288.41 = 38,142.16 : x
  2. Step 2: Convert to fraction form
    102,196.49/153,288.41 = 38,142.16/x
  3. Step 3: Cross multiply
    102,196.49x = 153,288.41 × 38,142.16
  4. Step 4: Simplify right side
    102,196.49x = 5,846,750,486.43
  5. Step 5: Solve for x
    x = 5,846,750,486.43/102,196.49
  6. Step 6: Final answer
    x = 57,210.88

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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.