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Finding the Fourth Proportional to 169,784.40, 254,611.80 and 51,416.40

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Solution

The fourth proportional to 169,784.40, 254,611.80 and 51,416.40 is: 77,104.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,784.40 : 254,611.80 = 51,416.40 : x
  2. Step 2: Convert to fraction form
    169,784.40/254,611.80 = 51,416.40/x
  3. Step 3: Cross multiply
    169,784.40x = 254,611.80 × 51,416.40
  4. Step 4: Simplify right side
    169,784.40x = 13,091,222,153.52
  5. Step 5: Solve for x
    x = 13,091,222,153.52/169,784.40
  6. Step 6: Final answer
    x = 77,104.98

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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.