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Finding the Fourth Proportional to 298,636.12, 412,117.88 and 164,500.12

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Solution

The fourth proportional to 298,636.12, 412,117.88 and 164,500.12 is: 227,010.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,636.12 : 412,117.88 = 164,500.12 : x
  2. Step 2: Convert to fraction form
    298,636.12/412,117.88 = 164,500.12/x
  3. Step 3: Cross multiply
    298,636.12x = 412,117.88 × 164,500.12
  4. Step 4: Simplify right side
    298,636.12x = 67,793,440,714.15
  5. Step 5: Solve for x
    x = 67,793,440,714.15/298,636.12
  6. Step 6: Final answer
    x = 227,010.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.