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Finding the Fourth Proportional to 164,355.98, 246,535.83 and 57,742.46

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Solution

The fourth proportional to 164,355.98, 246,535.83 and 57,742.46 is: 86,614.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,355.98 : 246,535.83 = 57,742.46 : x
  2. Step 2: Convert to fraction form
    164,355.98/246,535.83 = 57,742.46/x
  3. Step 3: Cross multiply
    164,355.98x = 246,535.83 × 57,742.46
  4. Step 4: Simplify right side
    164,355.98x = 14,235,585,302.34
  5. Step 5: Solve for x
    x = 14,235,585,302.34/164,355.98
  6. Step 6: Final answer
    x = 86,614.34

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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.