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Finding the Fourth Proportional to 182,968.32, 274,014.32 and 116,199.52

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Solution

The fourth proportional to 182,968.32, 274,014.32 and 116,199.52 is: 174,021.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,968.32 : 274,014.32 = 116,199.52 : x
  2. Step 2: Convert to fraction form
    182,968.32/274,014.32 = 116,199.52/x
  3. Step 3: Cross multiply
    182,968.32x = 274,014.32 × 116,199.52
  4. Step 4: Simplify right side
    182,968.32x = 31,840,332,457.13
  5. Step 5: Solve for x
    x = 31,840,332,457.13/182,968.32
  6. Step 6: Final answer
    x = 174,021.01

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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.