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Finding the Fourth Proportional to 202,282.25, 301,885.25 and 179,862.66

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Solution

The fourth proportional to 202,282.25, 301,885.25 and 179,862.66 is: 268,426.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,282.25 : 301,885.25 = 179,862.66 : x
  2. Step 2: Convert to fraction form
    202,282.25/301,885.25 = 179,862.66/x
  3. Step 3: Cross multiply
    202,282.25x = 301,885.25 × 179,862.66
  4. Step 4: Simplify right side
    202,282.25x = 54,297,884,192.18
  5. Step 5: Solve for x
    x = 54,297,884,192.18/202,282.25
  6. Step 6: Final answer
    x = 268,426.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.