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Finding the Fourth Proportional to 201,941.77, 302,948.66 and 67,013.95

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Solution

The fourth proportional to 201,941.77, 302,948.66 and 67,013.95 is: 100,532.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,941.77 : 302,948.66 = 67,013.95 : x
  2. Step 2: Convert to fraction form
    201,941.77/302,948.66 = 67,013.95/x
  3. Step 3: Cross multiply
    201,941.77x = 302,948.66 × 67,013.95
  4. Step 4: Simplify right side
    201,941.77x = 20,301,786,018.74
  5. Step 5: Solve for x
    x = 20,301,786,018.74/201,941.77
  6. Step 6: Final answer
    x = 100,532.87

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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.