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Finding the Fourth Proportional to 166,401, 249,552.24 and 48,073.44

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Solution

The fourth proportional to 166,401, 249,552.24 and 48,073.44 is: 72,095.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,401 : 249,552.24 = 48,073.44 : x
  2. Step 2: Convert to fraction form
    166,401/249,552.24 = 48,073.44/x
  3. Step 3: Cross multiply
    166,401x = 249,552.24 × 48,073.44
  4. Step 4: Simplify right side
    166,401x = 11,996,834,636.51
  5. Step 5: Solve for x
    x = 11,996,834,636.51/166,401
  6. Step 6: Final answer
    x = 72,095.93

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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.