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Finding the Fourth Proportional to 164,926.40, 227,598.87 and 89,474.90

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Solution

The fourth proportional to 164,926.40, 227,598.87 and 89,474.90 is: 123,475.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,926.40 : 227,598.87 = 89,474.90 : x
  2. Step 2: Convert to fraction form
    164,926.40/227,598.87 = 89,474.90/x
  3. Step 3: Cross multiply
    164,926.40x = 227,598.87 × 89,474.90
  4. Step 4: Simplify right side
    164,926.40x = 20,364,384,659.84
  5. Step 5: Solve for x
    x = 20,364,384,659.84/164,926.40
  6. Step 6: Final answer
    x = 123,475.59

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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.