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Finding the Fourth Proportional to 164,513.76, 227,029.50 and 89,062.08

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Solution

The fourth proportional to 164,513.76, 227,029.50 and 89,062.08 is: 122,905.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,513.76 : 227,029.50 = 89,062.08 : x
  2. Step 2: Convert to fraction form
    164,513.76/227,029.50 = 89,062.08/x
  3. Step 3: Cross multiply
    164,513.76x = 227,029.50 × 89,062.08
  4. Step 4: Simplify right side
    164,513.76x = 20,219,719,491.36
  5. Step 5: Solve for x
    x = 20,219,719,491.36/164,513.76
  6. Step 6: Final answer
    x = 122,905.95

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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.