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Finding the Fourth Proportional to 178,997.68, 268,542.08 and 52,642.40

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Solution

The fourth proportional to 178,997.68, 268,542.08 and 52,642.40 is: 78,977.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,997.68 : 268,542.08 = 52,642.40 : x
  2. Step 2: Convert to fraction form
    178,997.68/268,542.08 = 52,642.40/x
  3. Step 3: Cross multiply
    178,997.68x = 268,542.08 × 52,642.40
  4. Step 4: Simplify right side
    178,997.68x = 14,136,699,592.19
  5. Step 5: Solve for x
    x = 14,136,699,592.19/178,997.68
  6. Step 6: Final answer
    x = 78,977.00

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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.