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Finding the Fourth Proportional to 276,090.64, 414,055.92 and 107,573.40

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Solution

The fourth proportional to 276,090.64, 414,055.92 and 107,573.40 is: 161,328.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,090.64 : 414,055.92 = 107,573.40 : x
  2. Step 2: Convert to fraction form
    276,090.64/414,055.92 = 107,573.40/x
  3. Step 3: Cross multiply
    276,090.64x = 414,055.92 × 107,573.40
  4. Step 4: Simplify right side
    276,090.64x = 44,541,403,104.53
  5. Step 5: Solve for x
    x = 44,541,403,104.53/276,090.64
  6. Step 6: Final answer
    x = 161,328.91

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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.