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Finding the Fourth Proportional to 201,282.68, 277,782.54 and 167,690.36

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Solution

The fourth proportional to 201,282.68, 277,782.54 and 167,690.36 is: 231,423.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,282.68 : 277,782.54 = 167,690.36 : x
  2. Step 2: Convert to fraction form
    201,282.68/277,782.54 = 167,690.36/x
  3. Step 3: Cross multiply
    201,282.68x = 277,782.54 × 167,690.36
  4. Step 4: Simplify right side
    201,282.68x = 46,581,454,134.31
  5. Step 5: Solve for x
    x = 46,581,454,134.31/201,282.68
  6. Step 6: Final answer
    x = 231,423.06

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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.