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Finding the Fourth Proportional to 196,957.27, 295,042.70 and 151,820.83

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Solution

The fourth proportional to 196,957.27, 295,042.70 and 151,820.83 is: 227,428.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,957.27 : 295,042.70 = 151,820.83 : x
  2. Step 2: Convert to fraction form
    196,957.27/295,042.70 = 151,820.83/x
  3. Step 3: Cross multiply
    196,957.27x = 295,042.70 × 151,820.83
  4. Step 4: Simplify right side
    196,957.27x = 44,793,628,347.80
  5. Step 5: Solve for x
    x = 44,793,628,347.80/196,957.27
  6. Step 6: Final answer
    x = 227,428.15

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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.