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Finding the Fourth Proportional to 166,230, 249,358.04 and 55,422

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Solution

The fourth proportional to 166,230, 249,358.04 and 55,422 is: 83,137.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,230 : 249,358.04 = 55,422 : x
  2. Step 2: Convert to fraction form
    166,230/249,358.04 = 55,422/x
  3. Step 3: Cross multiply
    166,230x = 249,358.04 × 55,422
  4. Step 4: Simplify right side
    166,230x = 13,819,921,292.88
  5. Step 5: Solve for x
    x = 13,819,921,292.88/166,230
  6. Step 6: Final answer
    x = 83,137.35

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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.