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Finding the Fourth Proportional to 227,804.92, 341,734.74 and 94,775.20

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Solution

The fourth proportional to 227,804.92, 341,734.74 and 94,775.20 is: 142,174.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,804.92 : 341,734.74 = 94,775.20 : x
  2. Step 2: Convert to fraction form
    227,804.92/341,734.74 = 94,775.20/x
  3. Step 3: Cross multiply
    227,804.92x = 341,734.74 × 94,775.20
  4. Step 4: Simplify right side
    227,804.92x = 32,387,978,330.45
  5. Step 5: Solve for x
    x = 32,387,978,330.45/227,804.92
  6. Step 6: Final answer
    x = 142,174.18

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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.