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Finding the Fourth Proportional to 267,676.16, 369,416.80 and 146,841

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Solution

The fourth proportional to 267,676.16, 369,416.80 and 146,841 is: 202,653.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,676.16 : 369,416.80 = 146,841 : x
  2. Step 2: Convert to fraction form
    267,676.16/369,416.80 = 146,841/x
  3. Step 3: Cross multiply
    267,676.16x = 369,416.80 × 146,841
  4. Step 4: Simplify right side
    267,676.16x = 54,245,532,328.80
  5. Step 5: Solve for x
    x = 54,245,532,328.80/267,676.16
  6. Step 6: Final answer
    x = 202,653.58

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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.