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Finding the Fourth Proportional to 164,764.38, 227,374.90 and 89,312.88

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Solution

The fourth proportional to 164,764.38, 227,374.90 and 89,312.88 is: 123,251.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,764.38 : 227,374.90 = 89,312.88 : x
  2. Step 2: Convert to fraction form
    164,764.38/227,374.90 = 89,312.88/x
  3. Step 3: Cross multiply
    164,764.38x = 227,374.90 × 89,312.88
  4. Step 4: Simplify right side
    164,764.38x = 20,307,507,158.71
  5. Step 5: Solve for x
    x = 20,307,507,158.71/164,764.38
  6. Step 6: Final answer
    x = 123,251.80

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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.