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Finding the Fourth Proportional to 165,964.32, 248,970.96 and 53,607.06

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Solution

The fourth proportional to 165,964.32, 248,970.96 and 53,607.06 is: 80,418.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,964.32 : 248,970.96 = 53,607.06 : x
  2. Step 2: Convert to fraction form
    165,964.32/248,970.96 = 53,607.06/x
  3. Step 3: Cross multiply
    165,964.32x = 248,970.96 × 53,607.06
  4. Step 4: Simplify right side
    165,964.32x = 13,346,601,190.98
  5. Step 5: Solve for x
    x = 13,346,601,190.98/165,964.32
  6. Step 6: Final answer
    x = 80,418.50

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.