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Finding the Fourth Proportional to 166,321.64, 249,484.28 and 47,994

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Solution

The fourth proportional to 166,321.64, 249,484.28 and 47,994 is: 71,991.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,321.64 : 249,484.28 = 47,994 : x
  2. Step 2: Convert to fraction form
    166,321.64/249,484.28 = 47,994/x
  3. Step 3: Cross multiply
    166,321.64x = 249,484.28 × 47,994
  4. Step 4: Simplify right side
    166,321.64x = 11,973,748,294.35
  5. Step 5: Solve for x
    x = 11,973,748,294.35/166,321.64
  6. Step 6: Final answer
    x = 71,991.53

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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.