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Finding the Fourth Proportional to 276,970.92, 415,643.08 and 97,057.96

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Solution

The fourth proportional to 276,970.92, 415,643.08 and 97,057.96 is: 145,652.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,970.92 : 415,643.08 = 97,057.96 : x
  2. Step 2: Convert to fraction form
    276,970.92/415,643.08 = 97,057.96/x
  3. Step 3: Cross multiply
    276,970.92x = 415,643.08 × 97,057.96
  4. Step 4: Simplify right side
    276,970.92x = 40,341,469,432.92
  5. Step 5: Solve for x
    x = 40,341,469,432.92/276,970.92
  6. Step 6: Final answer
    x = 145,652.36

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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.