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Finding the Fourth Proportional to 172,568.30, 238,097.76 and 100,965.92

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Solution

The fourth proportional to 172,568.30, 238,097.76 and 100,965.92 is: 139,305.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,568.30 : 238,097.76 = 100,965.92 : x
  2. Step 2: Convert to fraction form
    172,568.30/238,097.76 = 100,965.92/x
  3. Step 3: Cross multiply
    172,568.30x = 238,097.76 × 100,965.92
  4. Step 4: Simplify right side
    172,568.30x = 24,039,759,388.34
  5. Step 5: Solve for x
    x = 24,039,759,388.34/172,568.30
  6. Step 6: Final answer
    x = 139,305.77

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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.