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Finding the Fourth Proportional to 342,951.12, 514,406.76 and 103,059.84

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Solution

The fourth proportional to 342,951.12, 514,406.76 and 103,059.84 is: 154,583.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,951.12 : 514,406.76 = 103,059.84 : x
  2. Step 2: Convert to fraction form
    342,951.12/514,406.76 = 103,059.84/x
  3. Step 3: Cross multiply
    342,951.12x = 514,406.76 × 103,059.84
  4. Step 4: Simplify right side
    342,951.12x = 53,014,678,380.52
  5. Step 5: Solve for x
    x = 53,014,678,380.52/342,951.12
  6. Step 6: Final answer
    x = 154,583.77

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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.