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Finding the Fourth Proportional to 342,175.32, 513,254.34 and 92,850.84

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Solution

The fourth proportional to 342,175.32, 513,254.34 and 92,850.84 is: 139,273.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,175.32 : 513,254.34 = 92,850.84 : x
  2. Step 2: Convert to fraction form
    342,175.32/513,254.34 = 92,850.84/x
  3. Step 3: Cross multiply
    342,175.32x = 513,254.34 × 92,850.84
  4. Step 4: Simplify right side
    342,175.32x = 47,656,096,602.65
  5. Step 5: Solve for x
    x = 47,656,096,602.65/342,175.32
  6. Step 6: Final answer
    x = 139,273.92

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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.