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Finding the Fourth Proportional to 208,144.40, 312,216.60 and 103,037.20

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Solution

The fourth proportional to 208,144.40, 312,216.60 and 103,037.20 is: 154,555.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,144.40 : 312,216.60 = 103,037.20 : x
  2. Step 2: Convert to fraction form
    208,144.40/312,216.60 = 103,037.20/x
  3. Step 3: Cross multiply
    208,144.40x = 312,216.60 × 103,037.20
  4. Step 4: Simplify right side
    208,144.40x = 32,169,924,257.52
  5. Step 5: Solve for x
    x = 32,169,924,257.52/208,144.40
  6. Step 6: Final answer
    x = 154,555.80

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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.