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Finding the Fourth Proportional to 278,776.32, 417,131.08 and 166,517.60

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Solution

The fourth proportional to 278,776.32, 417,131.08 and 166,517.60 is: 249,159.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,776.32 : 417,131.08 = 166,517.60 : x
  2. Step 2: Convert to fraction form
    278,776.32/417,131.08 = 166,517.60/x
  3. Step 3: Cross multiply
    278,776.32x = 417,131.08 × 166,517.60
  4. Step 4: Simplify right side
    278,776.32x = 69,459,666,327.01
  5. Step 5: Solve for x
    x = 69,459,666,327.01/278,776.32
  6. Step 6: Final answer
    x = 249,159.13

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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.