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Finding the Fourth Proportional to 182,658, 274,069.08 and 116,080.86

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Solution

The fourth proportional to 182,658, 274,069.08 and 116,080.86 is: 174,173.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,658 : 274,069.08 = 116,080.86 : x
  2. Step 2: Convert to fraction form
    182,658/274,069.08 = 116,080.86/x
  3. Step 3: Cross multiply
    182,658x = 274,069.08 × 116,080.86
  4. Step 4: Simplify right side
    182,658x = 31,814,174,505.81
  5. Step 5: Solve for x
    x = 31,814,174,505.81/182,658
  6. Step 6: Final answer
    x = 174,173.45

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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.