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Finding the Fourth Proportional to 172,525.68, 238,083 and 97,074

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Solution

The fourth proportional to 172,525.68, 238,083 and 97,074 is: 133,960.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,525.68 : 238,083 = 97,074 : x
  2. Step 2: Convert to fraction form
    172,525.68/238,083 = 97,074/x
  3. Step 3: Cross multiply
    172,525.68x = 238,083 × 97,074
  4. Step 4: Simplify right side
    172,525.68x = 23,111,669,142
  5. Step 5: Solve for x
    x = 23,111,669,142/172,525.68
  6. Step 6: Final answer
    x = 133,960.75

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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.