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Finding the Fourth Proportional to 146,474.82, 219,712.32 and 57,737.70

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Solution

The fourth proportional to 146,474.82, 219,712.32 and 57,737.70 is: 86,606.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,474.82 : 219,712.32 = 57,737.70 : x
  2. Step 2: Convert to fraction form
    146,474.82/219,712.32 = 57,737.70/x
  3. Step 3: Cross multiply
    146,474.82x = 219,712.32 × 57,737.70
  4. Step 4: Simplify right side
    146,474.82x = 12,685,684,018.46
  5. Step 5: Solve for x
    x = 12,685,684,018.46/146,474.82
  6. Step 6: Final answer
    x = 86,606.59

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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.