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Finding the Fourth Proportional to 441,196, 661,731.51 and 141,637.13

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Solution

The fourth proportional to 441,196, 661,731.51 and 141,637.13 is: 212,435.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,196 : 661,731.51 = 141,637.13 : x
  2. Step 2: Convert to fraction form
    441,196/661,731.51 = 141,637.13/x
  3. Step 3: Cross multiply
    441,196x = 661,731.51 × 141,637.13
  4. Step 4: Simplify right side
    441,196x = 93,725,751,906.97
  5. Step 5: Solve for x
    x = 93,725,751,906.97/441,196
  6. Step 6: Final answer
    x = 212,435.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.