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Finding the Fourth Proportional to 137,583.44, 206,375.16 and 110,056.40

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Solution

The fourth proportional to 137,583.44, 206,375.16 and 110,056.40 is: 165,084.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,583.44 : 206,375.16 = 110,056.40 : x
  2. Step 2: Convert to fraction form
    137,583.44/206,375.16 = 110,056.40/x
  3. Step 3: Cross multiply
    137,583.44x = 206,375.16 × 110,056.40
  4. Step 4: Simplify right side
    137,583.44x = 22,712,907,159.02
  5. Step 5: Solve for x
    x = 22,712,907,159.02/137,583.44
  6. Step 6: Final answer
    x = 165,084.60

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Why These Related Problems?

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