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Finding the Fourth Proportional to 165,199.60, 227,978.28 and 93,577.84

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Solution

The fourth proportional to 165,199.60, 227,978.28 and 93,577.84 is: 129,139.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,199.60 : 227,978.28 = 93,577.84 : x
  2. Step 2: Convert to fraction form
    165,199.60/227,978.28 = 93,577.84/x
  3. Step 3: Cross multiply
    165,199.60x = 227,978.28 × 93,577.84
  4. Step 4: Simplify right side
    165,199.60x = 21,333,715,009.32
  5. Step 5: Solve for x
    x = 21,333,715,009.32/165,199.60
  6. Step 6: Final answer
    x = 129,139.02

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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.