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Finding the Fourth Proportional to 154,739.50, 232,213.02 and 56,243.50

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Solution

The fourth proportional to 154,739.50, 232,213.02 and 56,243.50 is: 84,402.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,739.50 : 232,213.02 = 56,243.50 : x
  2. Step 2: Convert to fraction form
    154,739.50/232,213.02 = 56,243.50/x
  3. Step 3: Cross multiply
    154,739.50x = 232,213.02 × 56,243.50
  4. Step 4: Simplify right side
    154,739.50x = 13,060,472,990.37
  5. Step 5: Solve for x
    x = 13,060,472,990.37/154,739.50
  6. Step 6: Final answer
    x = 84,402.97

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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.