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Finding the Fourth Proportional to 166,147, 249,220.50 and 49,411

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Solution

The fourth proportional to 166,147, 249,220.50 and 49,411 is: 74,116.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,147 : 249,220.50 = 49,411 : x
  2. Step 2: Convert to fraction form
    166,147/249,220.50 = 49,411/x
  3. Step 3: Cross multiply
    166,147x = 249,220.50 × 49,411
  4. Step 4: Simplify right side
    166,147x = 12,314,234,125.50
  5. Step 5: Solve for x
    x = 12,314,234,125.50/166,147
  6. Step 6: Final answer
    x = 74,116.50

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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.