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Finding the Fourth Proportional to 354,772.66, 531,696.92 and 144,164.38

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Solution

The fourth proportional to 354,772.66, 531,696.92 and 144,164.38 is: 216,058.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,772.66 : 531,696.92 = 144,164.38 : x
  2. Step 2: Convert to fraction form
    354,772.66/531,696.92 = 144,164.38/x
  3. Step 3: Cross multiply
    354,772.66x = 531,696.92 × 144,164.38
  4. Step 4: Simplify right side
    354,772.66x = 76,651,756,819.71
  5. Step 5: Solve for x
    x = 76,651,756,819.71/354,772.66
  6. Step 6: Final answer
    x = 216,058.80

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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.