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Finding the Fourth Proportional to 164,214.16, 226,529.48 and 142,655.50

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Solution

The fourth proportional to 164,214.16, 226,529.48 and 142,655.50 is: 196,789.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,214.16 : 226,529.48 = 142,655.50 : x
  2. Step 2: Convert to fraction form
    164,214.16/226,529.48 = 142,655.50/x
  3. Step 3: Cross multiply
    164,214.16x = 226,529.48 × 142,655.50
  4. Step 4: Simplify right side
    164,214.16x = 32,315,676,234.14
  5. Step 5: Solve for x
    x = 32,315,676,234.14/164,214.16
  6. Step 6: Final answer
    x = 196,789.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.