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Finding the Fourth Proportional to 270,049.59, 405,328.64 and 137,025.32

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Solution

The fourth proportional to 270,049.59, 405,328.64 and 137,025.32 is: 205,666.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,049.59 : 405,328.64 = 137,025.32 : x
  2. Step 2: Convert to fraction form
    270,049.59/405,328.64 = 137,025.32/x
  3. Step 3: Cross multiply
    270,049.59x = 405,328.64 × 137,025.32
  4. Step 4: Simplify right side
    270,049.59x = 55,540,283,889.40
  5. Step 5: Solve for x
    x = 55,540,283,889.40/270,049.59
  6. Step 6: Final answer
    x = 205,666.98

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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.