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Finding the Fourth Proportional to 247,311.94, 341,259.45 and 146,690.50

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Solution

The fourth proportional to 247,311.94, 341,259.45 and 146,690.50 is: 202,414.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,311.94 : 341,259.45 = 146,690.50 : x
  2. Step 2: Convert to fraction form
    247,311.94/341,259.45 = 146,690.50/x
  3. Step 3: Cross multiply
    247,311.94x = 341,259.45 × 146,690.50
  4. Step 4: Simplify right side
    247,311.94x = 50,059,519,350.23
  5. Step 5: Solve for x
    x = 50,059,519,350.23/247,311.94
  6. Step 6: Final answer
    x = 202,414.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.