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Finding the Fourth Proportional to 175,233.60, 262,706.40 and 75,470.40

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Solution

The fourth proportional to 175,233.60, 262,706.40 and 75,470.40 is: 113,143.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,233.60 : 262,706.40 = 75,470.40 : x
  2. Step 2: Convert to fraction form
    175,233.60/262,706.40 = 75,470.40/x
  3. Step 3: Cross multiply
    175,233.60x = 262,706.40 × 75,470.40
  4. Step 4: Simplify right side
    175,233.60x = 19,826,557,090.56
  5. Step 5: Solve for x
    x = 19,826,557,090.56/175,233.60
  6. Step 6: Final answer
    x = 113,143.58

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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.