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Finding the Fourth Proportional to 182,971.53, 274,457.30 and 77,716.89

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Solution

The fourth proportional to 182,971.53, 274,457.30 and 77,716.89 is: 116,575.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,971.53 : 274,457.30 = 77,716.89 : x
  2. Step 2: Convert to fraction form
    182,971.53/274,457.30 = 77,716.89/x
  3. Step 3: Cross multiply
    182,971.53x = 274,457.30 × 77,716.89
  4. Step 4: Simplify right side
    182,971.53x = 21,329,967,405.21
  5. Step 5: Solve for x
    x = 21,329,967,405.21/182,971.53
  6. Step 6: Final answer
    x = 116,575.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.