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Finding the Fourth Proportional to 175,270.10, 262,905.15 and 164,902.10

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Solution

The fourth proportional to 175,270.10, 262,905.15 and 164,902.10 is: 247,353.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,270.10 : 262,905.15 = 164,902.10 : x
  2. Step 2: Convert to fraction form
    175,270.10/262,905.15 = 164,902.10/x
  3. Step 3: Cross multiply
    175,270.10x = 262,905.15 × 164,902.10
  4. Step 4: Simplify right side
    175,270.10x = 43,353,611,335.82
  5. Step 5: Solve for x
    x = 43,353,611,335.82/175,270.10
  6. Step 6: Final answer
    x = 247,353.15

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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.