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Finding the Fourth Proportional to 169,877.44, 254,828.16 and 51,558.40

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Solution

The fourth proportional to 169,877.44, 254,828.16 and 51,558.40 is: 77,341.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,877.44 : 254,828.16 = 51,558.40 : x
  2. Step 2: Convert to fraction form
    169,877.44/254,828.16 = 51,558.40/x
  3. Step 3: Cross multiply
    169,877.44x = 254,828.16 × 51,558.40
  4. Step 4: Simplify right side
    169,877.44x = 13,138,532,204.54
  5. Step 5: Solve for x
    x = 13,138,532,204.54/169,877.44
  6. Step 6: Final answer
    x = 77,341.24

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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.