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Finding the Fourth Proportional to 172,084.50, 237,476.61 and 96,633

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Solution

The fourth proportional to 172,084.50, 237,476.61 and 96,633 is: 133,353.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,084.50 : 237,476.61 = 96,633 : x
  2. Step 2: Convert to fraction form
    172,084.50/237,476.61 = 96,633/x
  3. Step 3: Cross multiply
    172,084.50x = 237,476.61 × 96,633
  4. Step 4: Simplify right side
    172,084.50x = 22,948,077,254.13
  5. Step 5: Solve for x
    x = 22,948,077,254.13/172,084.50
  6. Step 6: Final answer
    x = 133,353.54

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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.