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Finding the Fourth Proportional to 129,199.92, 193,810.95 and 35,705.67

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Solution

The fourth proportional to 129,199.92, 193,810.95 and 35,705.67 is: 53,561.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,199.92 : 193,810.95 = 35,705.67 : x
  2. Step 2: Convert to fraction form
    129,199.92/193,810.95 = 35,705.67/x
  3. Step 3: Cross multiply
    129,199.92x = 193,810.95 × 35,705.67
  4. Step 4: Simplify right side
    129,199.92x = 6,920,149,823.09
  5. Step 5: Solve for x
    x = 6,920,149,823.09/129,199.92
  6. Step 6: Final answer
    x = 53,561.56

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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.