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Finding the Fourth Proportional to 164,337.25, 246,542.80 and 52,024.20

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Solution

The fourth proportional to 164,337.25, 246,542.80 and 52,024.20 is: 78,047.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,337.25 : 246,542.80 = 52,024.20 : x
  2. Step 2: Convert to fraction form
    164,337.25/246,542.80 = 52,024.20/x
  3. Step 3: Cross multiply
    164,337.25x = 246,542.80 × 52,024.20
  4. Step 4: Simplify right side
    164,337.25x = 12,826,191,935.76
  5. Step 5: Solve for x
    x = 12,826,191,935.76/164,337.25
  6. Step 6: Final answer
    x = 78,047.99

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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.