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Finding the Fourth Proportional to 169,884.41, 254,828.16 and 51,555.74

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Solution

The fourth proportional to 169,884.41, 254,828.16 and 51,555.74 is: 77,334.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,884.41 : 254,828.16 = 51,555.74 : x
  2. Step 2: Convert to fraction form
    169,884.41/254,828.16 = 51,555.74/x
  3. Step 3: Cross multiply
    169,884.41x = 254,828.16 × 51,555.74
  4. Step 4: Simplify right side
    169,884.41x = 13,137,853,087.50
  5. Step 5: Solve for x
    x = 13,137,853,087.50/169,884.41
  6. Step 6: Final answer
    x = 77,334.07

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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.