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Finding the Fourth Proportional to 166,362.54, 249,469.62 and 48,005.76

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Solution

The fourth proportional to 166,362.54, 249,469.62 and 48,005.76 is: 71,987.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,362.54 : 249,469.62 = 48,005.76 : x
  2. Step 2: Convert to fraction form
    166,362.54/249,469.62 = 48,005.76/x
  3. Step 3: Cross multiply
    166,362.54x = 249,469.62 × 48,005.76
  4. Step 4: Simplify right side
    166,362.54x = 11,975,978,705.01
  5. Step 5: Solve for x
    x = 11,975,978,705.01/166,362.54
  6. Step 6: Final answer
    x = 71,987.23

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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.