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Finding the Fourth Proportional to 171,964, 237,310.32 and 96,512.50

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Solution

The fourth proportional to 171,964, 237,310.32 and 96,512.50 is: 133,187.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,964 : 237,310.32 = 96,512.50 : x
  2. Step 2: Convert to fraction form
    171,964/237,310.32 = 96,512.50/x
  3. Step 3: Cross multiply
    171,964x = 237,310.32 × 96,512.50
  4. Step 4: Simplify right side
    171,964x = 22,903,412,259
  5. Step 5: Solve for x
    x = 22,903,412,259/171,964
  6. Step 6: Final answer
    x = 133,187.25

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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.