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Finding the Fourth Proportional to 175,436.80, 263,414.40 and 136,038.40

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Solution

The fourth proportional to 175,436.80, 263,414.40 and 136,038.40 is: 204,258.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,436.80 : 263,414.40 = 136,038.40 : x
  2. Step 2: Convert to fraction form
    175,436.80/263,414.40 = 136,038.40/x
  3. Step 3: Cross multiply
    175,436.80x = 263,414.40 × 136,038.40
  4. Step 4: Simplify right side
    175,436.80x = 35,834,473,512.96
  5. Step 5: Solve for x
    x = 35,834,473,512.96/175,436.80
  6. Step 6: Final answer
    x = 204,258.59

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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.