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Finding the Fourth Proportional to 172,834.12, 238,509.66 and 96,352.30

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Solution

The fourth proportional to 172,834.12, 238,509.66 and 96,352.30 is: 132,965.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,834.12 : 238,509.66 = 96,352.30 : x
  2. Step 2: Convert to fraction form
    172,834.12/238,509.66 = 96,352.30/x
  3. Step 3: Cross multiply
    172,834.12x = 238,509.66 × 96,352.30
  4. Step 4: Simplify right side
    172,834.12x = 22,980,954,313.22
  5. Step 5: Solve for x
    x = 22,980,954,313.22/172,834.12
  6. Step 6: Final answer
    x = 132,965.38

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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.