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Finding the Fourth Proportional to 451,180.80, 676,812.96 and 147,576.68

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Solution

The fourth proportional to 451,180.80, 676,812.96 and 147,576.68 is: 221,378.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,180.80 : 676,812.96 = 147,576.68 : x
  2. Step 2: Convert to fraction form
    451,180.80/676,812.96 = 147,576.68/x
  3. Step 3: Cross multiply
    451,180.80x = 676,812.96 × 147,576.68
  4. Step 4: Simplify right side
    451,180.80x = 99,881,811,309.81
  5. Step 5: Solve for x
    x = 99,881,811,309.81/451,180.80
  6. Step 6: Final answer
    x = 221,378.68

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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.