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Finding the Fourth Proportional to 275,741.42, 380,514.86 and 153,233.38

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Solution

The fourth proportional to 275,741.42, 380,514.86 and 153,233.38 is: 211,457.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,741.42 : 380,514.86 = 153,233.38 : x
  2. Step 2: Convert to fraction form
    275,741.42/380,514.86 = 153,233.38/x
  3. Step 3: Cross multiply
    275,741.42x = 380,514.86 × 153,233.38
  4. Step 4: Simplify right side
    275,741.42x = 58,307,578,138.03
  5. Step 5: Solve for x
    x = 58,307,578,138.03/275,741.42
  6. Step 6: Final answer
    x = 211,457.45

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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.