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Finding the Fourth Proportional to 342,525.85, 513,837.97 and 105,886.98

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Solution

The fourth proportional to 342,525.85, 513,837.97 and 105,886.98 is: 158,845.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,525.85 : 513,837.97 = 105,886.98 : x
  2. Step 2: Convert to fraction form
    342,525.85/513,837.97 = 105,886.98/x
  3. Step 3: Cross multiply
    342,525.85x = 513,837.97 × 105,886.98
  4. Step 4: Simplify right side
    342,525.85x = 54,408,750,587.91
  5. Step 5: Solve for x
    x = 54,408,750,587.91/342,525.85
  6. Step 6: Final answer
    x = 158,845.68

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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.