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Finding the Fourth Proportional to 144,093.96, 198,851.58 and 83,669.40

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Solution

The fourth proportional to 144,093.96, 198,851.58 and 83,669.40 is: 115,464.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,093.96 : 198,851.58 = 83,669.40 : x
  2. Step 2: Convert to fraction form
    144,093.96/198,851.58 = 83,669.40/x
  3. Step 3: Cross multiply
    144,093.96x = 198,851.58 × 83,669.40
  4. Step 4: Simplify right side
    144,093.96x = 16,637,792,387.65
  5. Step 5: Solve for x
    x = 16,637,792,387.65/144,093.96
  6. Step 6: Final answer
    x = 115,464.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.