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Finding the Fourth Proportional to 172,454.10, 258,976.35 and 93,722.10

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Solution

The fourth proportional to 172,454.10, 258,976.35 and 93,722.10 is: 140,743.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,454.10 : 258,976.35 = 93,722.10 : x
  2. Step 2: Convert to fraction form
    172,454.10/258,976.35 = 93,722.10/x
  3. Step 3: Cross multiply
    172,454.10x = 258,976.35 × 93,722.10
  4. Step 4: Simplify right side
    172,454.10x = 24,271,807,372.34
  5. Step 5: Solve for x
    x = 24,271,807,372.34/172,454.10
  6. Step 6: Final answer
    x = 140,743.58

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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.