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Finding the Fourth Proportional to 199,638.60, 299,457.90 and 187,828.80

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Solution

The fourth proportional to 199,638.60, 299,457.90 and 187,828.80 is: 281,743.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,638.60 : 299,457.90 = 187,828.80 : x
  2. Step 2: Convert to fraction form
    199,638.60/299,457.90 = 187,828.80/x
  3. Step 3: Cross multiply
    199,638.60x = 299,457.90 × 187,828.80
  4. Step 4: Simplify right side
    199,638.60x = 56,246,818,007.52
  5. Step 5: Solve for x
    x = 56,246,818,007.52/199,638.60
  6. Step 6: Final answer
    x = 281,743.20

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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.