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Finding the Fourth Proportional to 182,523.60, 274,368.60 and 130,294.80

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Solution

The fourth proportional to 182,523.60, 274,368.60 and 130,294.80 is: 195,858.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,523.60 : 274,368.60 = 130,294.80 : x
  2. Step 2: Convert to fraction form
    182,523.60/274,368.60 = 130,294.80/x
  3. Step 3: Cross multiply
    182,523.60x = 274,368.60 × 130,294.80
  4. Step 4: Simplify right side
    182,523.60x = 35,748,801,863.28
  5. Step 5: Solve for x
    x = 35,748,801,863.28/182,523.60
  6. Step 6: Final answer
    x = 195,858.52

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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.