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Finding the Fourth Proportional to 119,201.63, 164,498.36 and 65,486.75

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Solution

The fourth proportional to 119,201.63, 164,498.36 and 65,486.75 is: 90,371.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,201.63 : 164,498.36 = 65,486.75 : x
  2. Step 2: Convert to fraction form
    119,201.63/164,498.36 = 65,486.75/x
  3. Step 3: Cross multiply
    119,201.63x = 164,498.36 × 65,486.75
  4. Step 4: Simplify right side
    119,201.63x = 10,772,461,826.80
  5. Step 5: Solve for x
    x = 10,772,461,826.80/119,201.63
  6. Step 6: Final answer
    x = 90,371.77

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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.