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Finding the Fourth Proportional to 227,980.55, 314,651.43 and 154,359.59

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Solution

The fourth proportional to 227,980.55, 314,651.43 and 154,359.59 is: 213,042.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,980.55 : 314,651.43 = 154,359.59 : x
  2. Step 2: Convert to fraction form
    227,980.55/314,651.43 = 154,359.59/x
  3. Step 3: Cross multiply
    227,980.55x = 314,651.43 × 154,359.59
  4. Step 4: Simplify right side
    227,980.55x = 48,569,465,727.71
  5. Step 5: Solve for x
    x = 48,569,465,727.71/227,980.55
  6. Step 6: Final answer
    x = 213,042.15

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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.