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Finding the Fourth Proportional to 201,969.40, 302,954.10 and 59,819.80

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Solution

The fourth proportional to 201,969.40, 302,954.10 and 59,819.80 is: 89,729.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,969.40 : 302,954.10 = 59,819.80 : x
  2. Step 2: Convert to fraction form
    201,969.40/302,954.10 = 59,819.80/x
  3. Step 3: Cross multiply
    201,969.40x = 302,954.10 × 59,819.80
  4. Step 4: Simplify right side
    201,969.40x = 18,122,653,671.18
  5. Step 5: Solve for x
    x = 18,122,653,671.18/201,969.40
  6. Step 6: Final answer
    x = 89,729.70

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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.