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Finding the Fourth Proportional to 638,097.97, 957,072.84 and 164,746.12

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Solution

The fourth proportional to 638,097.97, 957,072.84 and 164,746.12 is: 247,100.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,097.97 : 957,072.84 = 164,746.12 : x
  2. Step 2: Convert to fraction form
    638,097.97/957,072.84 = 164,746.12/x
  3. Step 3: Cross multiply
    638,097.97x = 957,072.84 × 164,746.12
  4. Step 4: Simplify right side
    638,097.97x = 157,674,036,947.38
  5. Step 5: Solve for x
    x = 157,674,036,947.38/638,097.97
  6. Step 6: Final answer
    x = 247,100.04

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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.