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Finding the Fourth Proportional to 342,807.41, 514,222.05 and 106,152.14

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Solution

The fourth proportional to 342,807.41, 514,222.05 and 106,152.14 is: 159,231.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,807.41 : 514,222.05 = 106,152.14 : x
  2. Step 2: Convert to fraction form
    342,807.41/514,222.05 = 106,152.14/x
  3. Step 3: Cross multiply
    342,807.41x = 514,222.05 × 106,152.14
  4. Step 4: Simplify right side
    342,807.41x = 54,585,768,471.58
  5. Step 5: Solve for x
    x = 54,585,768,471.58/342,807.41
  6. Step 6: Final answer
    x = 159,231.59

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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.