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Finding the Fourth Proportional to 166,405.40, 249,608.10 and 164,655.80

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Solution

The fourth proportional to 166,405.40, 249,608.10 and 164,655.80 is: 246,983.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,405.40 : 249,608.10 = 164,655.80 : x
  2. Step 2: Convert to fraction form
    166,405.40/249,608.10 = 164,655.80/x
  3. Step 3: Cross multiply
    166,405.40x = 249,608.10 × 164,655.80
  4. Step 4: Simplify right side
    166,405.40x = 41,099,421,391.98
  5. Step 5: Solve for x
    x = 41,099,421,391.98/166,405.40
  6. Step 6: Final answer
    x = 246,983.70

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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.