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Finding the Fourth Proportional to 137,700.50, 206,356.92 and 109,495.38

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Solution

The fourth proportional to 137,700.50, 206,356.92 and 109,495.38 is: 164,088.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,700.50 : 206,356.92 = 109,495.38 : x
  2. Step 2: Convert to fraction form
    137,700.50/206,356.92 = 109,495.38/x
  3. Step 3: Cross multiply
    137,700.50x = 206,356.92 × 109,495.38
  4. Step 4: Simplify right side
    137,700.50x = 22,595,128,823.55
  5. Step 5: Solve for x
    x = 22,595,128,823.55/137,700.50
  6. Step 6: Final answer
    x = 164,088.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.