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Finding the Fourth Proportional to 267,876.51, 369,683 and 147,016.74

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Solution

The fourth proportional to 267,876.51, 369,683 and 147,016.74 is: 202,890.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,876.51 : 369,683 = 147,016.74 : x
  2. Step 2: Convert to fraction form
    267,876.51/369,683 = 147,016.74/x
  3. Step 3: Cross multiply
    267,876.51x = 369,683 × 147,016.74
  4. Step 4: Simplify right side
    267,876.51x = 54,349,589,493.42
  5. Step 5: Solve for x
    x = 54,349,589,493.42/267,876.51
  6. Step 6: Final answer
    x = 202,890.46

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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.