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Finding the Fourth Proportional to 230,853, 318,596.58 and 130,270.44

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Solution

The fourth proportional to 230,853, 318,596.58 and 130,270.44 is: 179,784.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,853 : 318,596.58 = 130,270.44 : x
  2. Step 2: Convert to fraction form
    230,853/318,596.58 = 130,270.44/x
  3. Step 3: Cross multiply
    230,853x = 318,596.58 × 130,270.44
  4. Step 4: Simplify right side
    230,853x = 41,503,716,659.10
  5. Step 5: Solve for x
    x = 41,503,716,659.10/230,853
  6. Step 6: Final answer
    x = 179,784.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.