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Finding the Fourth Proportional to 175,270.80, 262,301.40 and 105,200.40

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Solution

The fourth proportional to 175,270.80, 262,301.40 and 105,200.40 is: 157,437.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,270.80 : 262,301.40 = 105,200.40 : x
  2. Step 2: Convert to fraction form
    175,270.80/262,301.40 = 105,200.40/x
  3. Step 3: Cross multiply
    175,270.80x = 262,301.40 × 105,200.40
  4. Step 4: Simplify right side
    175,270.80x = 27,594,212,200.56
  5. Step 5: Solve for x
    x = 27,594,212,200.56/175,270.80
  6. Step 6: Final answer
    x = 157,437.59

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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.