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Finding the Fourth Proportional to 169,657.73, 254,498.84 and 51,338.40

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Solution

The fourth proportional to 169,657.73, 254,498.84 and 51,338.40 is: 77,011.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,657.73 : 254,498.84 = 51,338.40 : x
  2. Step 2: Convert to fraction form
    169,657.73/254,498.84 = 51,338.40/x
  3. Step 3: Cross multiply
    169,657.73x = 254,498.84 × 51,338.40
  4. Step 4: Simplify right side
    169,657.73x = 13,065,563,247.46
  5. Step 5: Solve for x
    x = 13,065,563,247.46/169,657.73
  6. Step 6: Final answer
    x = 77,011.31

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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.