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Finding the Fourth Proportional to 177,846.77, 245,436.41 and 102,419.57

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Solution

The fourth proportional to 177,846.77, 245,436.41 and 102,419.57 is: 141,343.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,846.77 : 245,436.41 = 102,419.57 : x
  2. Step 2: Convert to fraction form
    177,846.77/245,436.41 = 102,419.57/x
  3. Step 3: Cross multiply
    177,846.77x = 245,436.41 × 102,419.57
  4. Step 4: Simplify right side
    177,846.77x = 25,137,491,574.54
  5. Step 5: Solve for x
    x = 25,137,491,574.54/177,846.77
  6. Step 6: Final answer
    x = 141,343.54

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1.5x scale

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.