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Finding the Fourth Proportional to 165,346.52, 228,177.06 and 89,895.02

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Solution

The fourth proportional to 165,346.52, 228,177.06 and 89,895.02 is: 124,054.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,346.52 : 228,177.06 = 89,895.02 : x
  2. Step 2: Convert to fraction form
    165,346.52/228,177.06 = 89,895.02/x
  3. Step 3: Cross multiply
    165,346.52x = 228,177.06 × 89,895.02
  4. Step 4: Simplify right side
    165,346.52x = 20,511,980,231.36
  5. Step 5: Solve for x
    x = 20,511,980,231.36/165,346.52
  6. Step 6: Final answer
    x = 124,054.51

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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.