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Finding the Fourth Proportional to 164,498.64, 227,008.08 and 89,047.08

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Solution

The fourth proportional to 164,498.64, 227,008.08 and 89,047.08 is: 122,884.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,498.64 : 227,008.08 = 89,047.08 : x
  2. Step 2: Convert to fraction form
    164,498.64/227,008.08 = 89,047.08/x
  3. Step 3: Cross multiply
    164,498.64x = 227,008.08 × 89,047.08
  4. Step 4: Simplify right side
    164,498.64x = 20,214,406,660.41
  5. Step 5: Solve for x
    x = 20,214,406,660.41/164,498.64
  6. Step 6: Final answer
    x = 122,884.95

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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.