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Finding the Fourth Proportional to 150,728.96, 208,008.58 and 82,752.26

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Solution

The fourth proportional to 150,728.96, 208,008.58 and 82,752.26 is: 114,199.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,728.96 : 208,008.58 = 82,752.26 : x
  2. Step 2: Convert to fraction form
    150,728.96/208,008.58 = 82,752.26/x
  3. Step 3: Cross multiply
    150,728.96x = 208,008.58 × 82,752.26
  4. Step 4: Simplify right side
    150,728.96x = 17,213,180,094.39
  5. Step 5: Solve for x
    x = 17,213,180,094.39/150,728.96
  6. Step 6: Final answer
    x = 114,199.55

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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.