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Finding the Fourth Proportional to 166,147.50, 249,221.25 and 49,411.50

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Solution

The fourth proportional to 166,147.50, 249,221.25 and 49,411.50 is: 74,117.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,147.50 : 249,221.25 = 49,411.50 : x
  2. Step 2: Convert to fraction form
    166,147.50/249,221.25 = 49,411.50/x
  3. Step 3: Cross multiply
    166,147.50x = 249,221.25 × 49,411.50
  4. Step 4: Simplify right side
    166,147.50x = 12,314,395,794.38
  5. Step 5: Solve for x
    x = 12,314,395,794.38/166,147.50
  6. Step 6: Final answer
    x = 74,117.25

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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.