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Finding the Fourth Proportional to 164,712.96, 246,996 and 52,372.08

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Solution

The fourth proportional to 164,712.96, 246,996 and 52,372.08 is: 78,534.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,712.96 : 246,996 = 52,372.08 : x
  2. Step 2: Convert to fraction form
    164,712.96/246,996 = 52,372.08/x
  3. Step 3: Cross multiply
    164,712.96x = 246,996 × 52,372.08
  4. Step 4: Simplify right side
    164,712.96x = 12,935,694,271.68
  5. Step 5: Solve for x
    x = 12,935,694,271.68/164,712.96
  6. Step 6: Final answer
    x = 78,534.77

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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.