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Finding the Fourth Proportional to 172,574.32, 238,106.02 and 100,971.92

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Solution

The fourth proportional to 172,574.32, 238,106.02 and 100,971.92 is: 139,314.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,574.32 : 238,106.02 = 100,971.92 : x
  2. Step 2: Convert to fraction form
    172,574.32/238,106.02 = 100,971.92/x
  3. Step 3: Cross multiply
    172,574.32x = 238,106.02 × 100,971.92
  4. Step 4: Simplify right side
    172,574.32x = 24,042,022,002.96
  5. Step 5: Solve for x
    x = 24,042,022,002.96/172,574.32
  6. Step 6: Final answer
    x = 139,314.02

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