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Finding the Fourth Proportional to 169,782.40, 254,608.80 and 51,414.40

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Solution

The fourth proportional to 169,782.40, 254,608.80 and 51,414.40 is: 77,101.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,782.40 : 254,608.80 = 51,414.40 : x
  2. Step 2: Convert to fraction form
    169,782.40/254,608.80 = 51,414.40/x
  3. Step 3: Cross multiply
    169,782.40x = 254,608.80 × 51,414.40
  4. Step 4: Simplify right side
    169,782.40x = 13,090,558,686.72
  5. Step 5: Solve for x
    x = 13,090,558,686.72/169,782.40
  6. Step 6: Final answer
    x = 77,101.98

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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.