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Finding the Fourth Proportional to 201,225.60, 301,729.05 and 68,037.30

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Solution

The fourth proportional to 201,225.60, 301,729.05 and 68,037.30 is: 102,018.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,225.60 : 301,729.05 = 68,037.30 : x
  2. Step 2: Convert to fraction form
    201,225.60/301,729.05 = 68,037.30/x
  3. Step 3: Cross multiply
    201,225.60x = 301,729.05 × 68,037.30
  4. Step 4: Simplify right side
    201,225.60x = 20,528,829,893.57
  5. Step 5: Solve for x
    x = 20,528,829,893.57/201,225.60
  6. Step 6: Final answer
    x = 102,018.98

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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.