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Finding the Fourth Proportional to 208,230.40, 312,345.60 and 89,819.20

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Solution

The fourth proportional to 208,230.40, 312,345.60 and 89,819.20 is: 134,728.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,230.40 : 312,345.60 = 89,819.20 : x
  2. Step 2: Convert to fraction form
    208,230.40/312,345.60 = 89,819.20/x
  3. Step 3: Cross multiply
    208,230.40x = 312,345.60 × 89,819.20
  4. Step 4: Simplify right side
    208,230.40x = 28,054,631,915.52
  5. Step 5: Solve for x
    x = 28,054,631,915.52/208,230.40
  6. Step 6: Final answer
    x = 134,728.80

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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.