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Finding the Fourth Proportional to 172,804.25, 259,206.38 and 41,476.25

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Solution

The fourth proportional to 172,804.25, 259,206.38 and 41,476.25 is: 62,214.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,804.25 : 259,206.38 = 41,476.25 : x
  2. Step 2: Convert to fraction form
    172,804.25/259,206.38 = 41,476.25/x
  3. Step 3: Cross multiply
    172,804.25x = 259,206.38 × 41,476.25
  4. Step 4: Simplify right side
    172,804.25x = 10,750,908,411.09
  5. Step 5: Solve for x
    x = 10,750,908,411.09/172,804.25
  6. Step 6: Final answer
    x = 62,214.38

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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.