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Finding the Fourth Proportional to 164,503.64, 227,014.98 and 89,052.08

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Solution

The fourth proportional to 164,503.64, 227,014.98 and 89,052.08 is: 122,891.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,503.64 : 227,014.98 = 89,052.08 : x
  2. Step 2: Convert to fraction form
    164,503.64/227,014.98 = 89,052.08/x
  3. Step 3: Cross multiply
    164,503.64x = 227,014.98 × 89,052.08
  4. Step 4: Simplify right side
    164,503.64x = 20,216,156,160.16
  5. Step 5: Solve for x
    x = 20,216,156,160.16/164,503.64
  6. Step 6: Final answer
    x = 122,891.85

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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.