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Finding the Fourth Proportional to 133,815.60, 200,652.12 and 45,039.60

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Solution

The fourth proportional to 133,815.60, 200,652.12 and 45,039.60 is: 67,535.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,815.60 : 200,652.12 = 45,039.60 : x
  2. Step 2: Convert to fraction form
    133,815.60/200,652.12 = 45,039.60/x
  3. Step 3: Cross multiply
    133,815.60x = 200,652.12 × 45,039.60
  4. Step 4: Simplify right side
    133,815.60x = 9,037,291,223.95
  5. Step 5: Solve for x
    x = 9,037,291,223.95/133,815.60
  6. Step 6: Final answer
    x = 67,535.41

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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.