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Finding the Fourth Proportional to 166,418, 249,577.74 and 48,090.44

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Solution

The fourth proportional to 166,418, 249,577.74 and 48,090.44 is: 72,121.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,418 : 249,577.74 = 48,090.44 : x
  2. Step 2: Convert to fraction form
    166,418/249,577.74 = 48,090.44/x
  3. Step 3: Cross multiply
    166,418x = 249,577.74 × 48,090.44
  4. Step 4: Simplify right side
    166,418x = 12,002,303,330.81
  5. Step 5: Solve for x
    x = 12,002,303,330.81/166,418
  6. Step 6: Final answer
    x = 72,121.43

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Why These Related Problems?

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