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Finding the Fourth Proportional to 164,466, 246,738 and 53,658

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Solution

The fourth proportional to 164,466, 246,738 and 53,658 is: 80,499.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,466 : 246,738 = 53,658 : x
  2. Step 2: Convert to fraction form
    164,466/246,738 = 53,658/x
  3. Step 3: Cross multiply
    164,466x = 246,738 × 53,658
  4. Step 4: Simplify right side
    164,466x = 13,239,467,604
  5. Step 5: Solve for x
    x = 13,239,467,604/164,466
  6. Step 6: Final answer
    x = 80,499.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.