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Finding the Fourth Proportional to 339,184.80, 508,777.20 and 102,502.80

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Solution

The fourth proportional to 339,184.80, 508,777.20 and 102,502.80 is: 153,754.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,184.80 : 508,777.20 = 102,502.80 : x
  2. Step 2: Convert to fraction form
    339,184.80/508,777.20 = 102,502.80/x
  3. Step 3: Cross multiply
    339,184.80x = 508,777.20 × 102,502.80
  4. Step 4: Simplify right side
    339,184.80x = 52,151,087,576.16
  5. Step 5: Solve for x
    x = 52,151,087,576.16/339,184.80
  6. Step 6: Final answer
    x = 153,754.20

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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.