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Finding the Fourth Proportional to 303,489.20, 455,233.80 and 103,743.20

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Solution

The fourth proportional to 303,489.20, 455,233.80 and 103,743.20 is: 155,614.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,489.20 : 455,233.80 = 103,743.20 : x
  2. Step 2: Convert to fraction form
    303,489.20/455,233.80 = 103,743.20/x
  3. Step 3: Cross multiply
    303,489.20x = 455,233.80 × 103,743.20
  4. Step 4: Simplify right side
    303,489.20x = 47,227,411,160.16
  5. Step 5: Solve for x
    x = 47,227,411,160.16/303,489.20
  6. Step 6: Final answer
    x = 155,614.80

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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.