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Finding the Fourth Proportional to 164,096.19, 246,144.30 and 53,288.19

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Solution

The fourth proportional to 164,096.19, 246,144.30 and 53,288.19 is: 79,932.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,096.19 : 246,144.30 = 53,288.19 : x
  2. Step 2: Convert to fraction form
    164,096.19/246,144.30 = 53,288.19/x
  3. Step 3: Cross multiply
    164,096.19x = 246,144.30 × 53,288.19
  4. Step 4: Simplify right side
    164,096.19x = 13,116,584,225.82
  5. Step 5: Solve for x
    x = 13,116,584,225.82/164,096.19
  6. Step 6: Final answer
    x = 79,932.29

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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.