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Finding the Fourth Proportional to 164,515, 246,772.52 and 53,707

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Solution

The fourth proportional to 164,515, 246,772.52 and 53,707 is: 80,560.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,515 : 246,772.52 = 53,707 : x
  2. Step 2: Convert to fraction form
    164,515/246,772.52 = 53,707/x
  3. Step 3: Cross multiply
    164,515x = 246,772.52 × 53,707
  4. Step 4: Simplify right side
    164,515x = 13,253,411,731.64
  5. Step 5: Solve for x
    x = 13,253,411,731.64/164,515
  6. Step 6: Final answer
    x = 80,560.51

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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.