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Finding the Fourth Proportional to 177,392.67, 265,947.69 and 102,427.80

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Solution

The fourth proportional to 177,392.67, 265,947.69 and 102,427.80 is: 153,560.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,392.67 : 265,947.69 = 102,427.80 : x
  2. Step 2: Convert to fraction form
    177,392.67/265,947.69 = 102,427.80/x
  3. Step 3: Cross multiply
    177,392.67x = 265,947.69 × 102,427.80
  4. Step 4: Simplify right side
    177,392.67x = 27,240,436,801.78
  5. Step 5: Solve for x
    x = 27,240,436,801.78/177,392.67
  6. Step 6: Final answer
    x = 153,560.10

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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.