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Finding the Fourth Proportional to 298,096.32, 447,148.08 and 118,225.92

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Solution

The fourth proportional to 298,096.32, 447,148.08 and 118,225.92 is: 177,340.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,096.32 : 447,148.08 = 118,225.92 : x
  2. Step 2: Convert to fraction form
    298,096.32/447,148.08 = 118,225.92/x
  3. Step 3: Cross multiply
    298,096.32x = 447,148.08 × 118,225.92
  4. Step 4: Simplify right side
    298,096.32x = 52,864,493,134.23
  5. Step 5: Solve for x
    x = 52,864,493,134.23/298,096.32
  6. Step 6: Final answer
    x = 177,340.31

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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.