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Finding the Fourth Proportional to 172,085, 237,477.30 and 96,633.50

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Solution

The fourth proportional to 172,085, 237,477.30 and 96,633.50 is: 133,354.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,085 : 237,477.30 = 96,633.50 : x
  2. Step 2: Convert to fraction form
    172,085/237,477.30 = 96,633.50/x
  3. Step 3: Cross multiply
    172,085x = 237,477.30 × 96,633.50
  4. Step 4: Simplify right side
    172,085x = 22,948,262,669.55
  5. Step 5: Solve for x
    x = 22,948,262,669.55/172,085
  6. Step 6: Final answer
    x = 133,354.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.