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Finding the Fourth Proportional to 212,206.57, 318,309.92 and 54,434.99

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Solution

The fourth proportional to 212,206.57, 318,309.92 and 54,434.99 is: 81,652.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,206.57 : 318,309.92 = 54,434.99 : x
  2. Step 2: Convert to fraction form
    212,206.57/318,309.92 = 54,434.99/x
  3. Step 3: Cross multiply
    212,206.57x = 318,309.92 × 54,434.99
  4. Step 4: Simplify right side
    212,206.57x = 17,327,197,312.10
  5. Step 5: Solve for x
    x = 17,327,197,312.10/212,206.57
  6. Step 6: Final answer
    x = 81,652.50

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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.