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Finding the Fourth Proportional to 227,975.68, 314,644.70 and 154,354.71

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Solution

The fourth proportional to 227,975.68, 314,644.70 and 154,354.71 is: 213,035.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,975.68 : 314,644.70 = 154,354.71 : x
  2. Step 2: Convert to fraction form
    227,975.68/314,644.70 = 154,354.71/x
  3. Step 3: Cross multiply
    227,975.68x = 314,644.70 × 154,354.71
  4. Step 4: Simplify right side
    227,975.68x = 48,566,891,421.54
  5. Step 5: Solve for x
    x = 48,566,891,421.54/227,975.68
  6. Step 6: Final answer
    x = 213,035.41

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Why These Related Problems?

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