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Finding the Fourth Proportional to 137,954.63, 206,821.10 and 77,946.08

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Solution

The fourth proportional to 137,954.63, 206,821.10 and 77,946.08 is: 116,856.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,954.63 : 206,821.10 = 77,946.08 : x
  2. Step 2: Convert to fraction form
    137,954.63/206,821.10 = 77,946.08/x
  3. Step 3: Cross multiply
    137,954.63x = 206,821.10 × 77,946.08
  4. Step 4: Simplify right side
    137,954.63x = 16,120,894,764.50
  5. Step 5: Solve for x
    x = 16,120,894,764.50/137,954.63
  6. Step 6: Final answer
    x = 116,856.50

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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.