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Finding the Fourth Proportional to 243,051.20, 364,576.80 and 209,808.80

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Solution

The fourth proportional to 243,051.20, 364,576.80 and 209,808.80 is: 314,713.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,051.20 : 364,576.80 = 209,808.80 : x
  2. Step 2: Convert to fraction form
    243,051.20/364,576.80 = 209,808.80/x
  3. Step 3: Cross multiply
    243,051.20x = 364,576.80 × 209,808.80
  4. Step 4: Simplify right side
    243,051.20x = 76,491,420,915.84
  5. Step 5: Solve for x
    x = 76,491,420,915.84/243,051.20
  6. Step 6: Final answer
    x = 314,713.20

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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.