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Finding the Fourth Proportional to 149,851.92, 206,602.68 and 106,880.40

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Solution

The fourth proportional to 149,851.92, 206,602.68 and 106,880.40 is: 147,357.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,851.92 : 206,602.68 = 106,880.40 : x
  2. Step 2: Convert to fraction form
    149,851.92/206,602.68 = 106,880.40/x
  3. Step 3: Cross multiply
    149,851.92x = 206,602.68 × 106,880.40
  4. Step 4: Simplify right side
    149,851.92x = 22,081,777,079.47
  5. Step 5: Solve for x
    x = 22,081,777,079.47/149,851.92
  6. Step 6: Final answer
    x = 147,357.32

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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.