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Finding the Fourth Proportional to 441,195.50, 661,730.76 and 141,636.63

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Solution

The fourth proportional to 441,195.50, 661,730.76 and 141,636.63 is: 212,434.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,195.50 : 661,730.76 = 141,636.63 : x
  2. Step 2: Convert to fraction form
    441,195.50/661,730.76 = 141,636.63/x
  3. Step 3: Cross multiply
    441,195.50x = 661,730.76 × 141,636.63
  4. Step 4: Simplify right side
    441,195.50x = 93,725,314,813.74
  5. Step 5: Solve for x
    x = 93,725,314,813.74/441,195.50
  6. Step 6: Final answer
    x = 212,434.89

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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.