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Finding the Fourth Proportional to 166,491, 249,736.50 and 49,755

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Solution

The fourth proportional to 166,491, 249,736.50 and 49,755 is: 74,632.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,491 : 249,736.50 = 49,755 : x
  2. Step 2: Convert to fraction form
    166,491/249,736.50 = 49,755/x
  3. Step 3: Cross multiply
    166,491x = 249,736.50 × 49,755
  4. Step 4: Simplify right side
    166,491x = 12,425,639,557.50
  5. Step 5: Solve for x
    x = 12,425,639,557.50/166,491
  6. Step 6: Final answer
    x = 74,632.50

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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.