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Finding the Fourth Proportional to 218,974.64, 328,461.96 and 52,762.64

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Solution

The fourth proportional to 218,974.64, 328,461.96 and 52,762.64 is: 79,143.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,974.64 : 328,461.96 = 52,762.64 : x
  2. Step 2: Convert to fraction form
    218,974.64/328,461.96 = 52,762.64/x
  3. Step 3: Cross multiply
    218,974.64x = 328,461.96 × 52,762.64
  4. Step 4: Simplify right side
    218,974.64x = 17,330,520,149.17
  5. Step 5: Solve for x
    x = 17,330,520,149.17/218,974.64
  6. Step 6: Final answer
    x = 79,143.96

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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.