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Finding the Fourth Proportional to 152,474.25, 210,414.48 and 92,858.25

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Solution

The fourth proportional to 152,474.25, 210,414.48 and 92,858.25 is: 128,144.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,474.25 : 210,414.48 = 92,858.25 : x
  2. Step 2: Convert to fraction form
    152,474.25/210,414.48 = 92,858.25/x
  3. Step 3: Cross multiply
    152,474.25x = 210,414.48 × 92,858.25
  4. Step 4: Simplify right side
    152,474.25x = 19,538,720,387.46
  5. Step 5: Solve for x
    x = 19,538,720,387.46/152,474.25
  6. Step 6: Final answer
    x = 128,144.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.