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Finding the Fourth Proportional to 164,958, 227,642.04 and 89,506.50

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Solution

The fourth proportional to 164,958, 227,642.04 and 89,506.50 is: 123,518.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,958 : 227,642.04 = 89,506.50 : x
  2. Step 2: Convert to fraction form
    164,958/227,642.04 = 89,506.50/x
  3. Step 3: Cross multiply
    164,958x = 227,642.04 × 89,506.50
  4. Step 4: Simplify right side
    164,958x = 20,375,442,253.26
  5. Step 5: Solve for x
    x = 20,375,442,253.26/164,958
  6. Step 6: Final answer
    x = 123,518.97

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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.