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Finding the Fourth Proportional to 164,014.30, 245,866.65 and 89,023.90

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Solution

The fourth proportional to 164,014.30, 245,866.65 and 89,023.90 is: 133,451.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,014.30 : 245,866.65 = 89,023.90 : x
  2. Step 2: Convert to fraction form
    164,014.30/245,866.65 = 89,023.90/x
  3. Step 3: Cross multiply
    164,014.30x = 245,866.65 × 89,023.90
  4. Step 4: Simplify right side
    164,014.30x = 21,888,008,062.94
  5. Step 5: Solve for x
    x = 21,888,008,062.94/164,014.30
  6. Step 6: Final answer
    x = 133,451.83

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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.