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Finding the Fourth Proportional to 102,402.28, 153,580.36 and 36,738.28

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Solution

The fourth proportional to 102,402.28, 153,580.36 and 36,738.28 is: 55,099.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,402.28 : 153,580.36 = 36,738.28 : x
  2. Step 2: Convert to fraction form
    102,402.28/153,580.36 = 36,738.28/x
  3. Step 3: Cross multiply
    102,402.28x = 153,580.36 × 36,738.28
  4. Step 4: Simplify right side
    102,402.28x = 5,642,278,268.18
  5. Step 5: Solve for x
    x = 5,642,278,268.18/102,402.28
  6. Step 6: Final answer
    x = 55,099.15

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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.