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Finding the Fourth Proportional to 201,326.17, 302,038.67 and 100,171.96

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Solution

The fourth proportional to 201,326.17, 302,038.67 and 100,171.96 is: 150,282.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,326.17 : 302,038.67 = 100,171.96 : x
  2. Step 2: Convert to fraction form
    201,326.17/302,038.67 = 100,171.96/x
  3. Step 3: Cross multiply
    201,326.17x = 302,038.67 × 100,171.96
  4. Step 4: Simplify right side
    201,326.17x = 30,255,805,569.69
  5. Step 5: Solve for x
    x = 30,255,805,569.69/201,326.17
  6. Step 6: Final answer
    x = 150,282.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.