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Finding the Fourth Proportional to 164,152.30, 246,228.52 and 39,493.30

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Solution

The fourth proportional to 164,152.30, 246,228.52 and 39,493.30 is: 59,239.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,152.30 : 246,228.52 = 39,493.30 : x
  2. Step 2: Convert to fraction form
    164,152.30/246,228.52 = 39,493.30/x
  3. Step 3: Cross multiply
    164,152.30x = 246,228.52 × 39,493.30
  4. Step 4: Simplify right side
    164,152.30x = 9,724,376,808.92
  5. Step 5: Solve for x
    x = 9,724,376,808.92/164,152.30
  6. Step 6: Final answer
    x = 59,239.97

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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.