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Finding the Fourth Proportional to 166,323.90, 249,461.55 and 47,982.90

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Solution

The fourth proportional to 166,323.90, 249,461.55 and 47,982.90 is: 71,967.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,323.90 : 249,461.55 = 47,982.90 : x
  2. Step 2: Convert to fraction form
    166,323.90/249,461.55 = 47,982.90/x
  3. Step 3: Cross multiply
    166,323.90x = 249,461.55 × 47,982.90
  4. Step 4: Simplify right side
    166,323.90x = 11,969,888,607.50
  5. Step 5: Solve for x
    x = 11,969,888,607.50/166,323.90
  6. Step 6: Final answer
    x = 71,967.34

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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.