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Finding the Fourth Proportional to 138,520.26, 206,693.10 and 130,056.30

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Solution

The fourth proportional to 138,520.26, 206,693.10 and 130,056.30 is: 194,063.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,520.26 : 206,693.10 = 130,056.30 : x
  2. Step 2: Convert to fraction form
    138,520.26/206,693.10 = 130,056.30/x
  3. Step 3: Cross multiply
    138,520.26x = 206,693.10 × 130,056.30
  4. Step 4: Simplify right side
    138,520.26x = 26,881,739,821.53
  5. Step 5: Solve for x
    x = 26,881,739,821.53/138,520.26
  6. Step 6: Final answer
    x = 194,063.60

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.