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Finding the Fourth Proportional to 120,550.64, 166,437.96 and 77,549.36

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Solution

The fourth proportional to 120,550.64, 166,437.96 and 77,549.36 is: 107,068.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,550.64 : 166,437.96 = 77,549.36 : x
  2. Step 2: Convert to fraction form
    120,550.64/166,437.96 = 77,549.36/x
  3. Step 3: Cross multiply
    120,550.64x = 166,437.96 × 77,549.36
  4. Step 4: Simplify right side
    120,550.64x = 12,907,157,277.71
  5. Step 5: Solve for x
    x = 12,907,157,277.71/120,550.64
  6. Step 6: Final answer
    x = 107,068.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.