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Finding the Fourth Proportional to 151,735.01, 209,492.94 and 135,792.05

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Solution

The fourth proportional to 151,735.01, 209,492.94 and 135,792.05 is: 187,481.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,735.01 : 209,492.94 = 135,792.05 : x
  2. Step 2: Convert to fraction form
    151,735.01/209,492.94 = 135,792.05/x
  3. Step 3: Cross multiply
    151,735.01x = 209,492.94 × 135,792.05
  4. Step 4: Simplify right side
    151,735.01x = 28,447,474,735.66
  5. Step 5: Solve for x
    x = 28,447,474,735.66/151,735.01
  6. Step 6: Final answer
    x = 187,481.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.