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Finding the Fourth Proportional to 172,085.50, 237,477.99 and 96,634

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Solution

The fourth proportional to 172,085.50, 237,477.99 and 96,634 is: 133,354.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,085.50 : 237,477.99 = 96,634 : x
  2. Step 2: Convert to fraction form
    172,085.50/237,477.99 = 96,634/x
  3. Step 3: Cross multiply
    172,085.50x = 237,477.99 × 96,634
  4. Step 4: Simplify right side
    172,085.50x = 22,948,448,085.66
  5. Step 5: Solve for x
    x = 22,948,448,085.66/172,085.50
  6. Step 6: Final answer
    x = 133,354.92

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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.