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Finding the Fourth Proportional to 164,438, 246,657 and 53,630

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Solution

The fourth proportional to 164,438, 246,657 and 53,630 is: 80,445

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,438 : 246,657 = 53,630 : x
  2. Step 2: Convert to fraction form
    164,438/246,657 = 53,630/x
  3. Step 3: Cross multiply
    164,438x = 246,657 × 53,630
  4. Step 4: Simplify right side
    164,438x = 13,228,214,910
  5. Step 5: Solve for x
    x = 13,228,214,910/164,438
  6. Step 6: Final answer
    x = 80,445

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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.