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Finding the Fourth Proportional to 283,099.50, 424,714.86 and 96,111

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Solution

The fourth proportional to 283,099.50, 424,714.86 and 96,111 is: 144,188.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,099.50 : 424,714.86 = 96,111 : x
  2. Step 2: Convert to fraction form
    283,099.50/424,714.86 = 96,111/x
  3. Step 3: Cross multiply
    283,099.50x = 424,714.86 × 96,111
  4. Step 4: Simplify right side
    283,099.50x = 40,819,769,909.46
  5. Step 5: Solve for x
    x = 40,819,769,909.46/283,099.50
  6. Step 6: Final answer
    x = 144,188.77

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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.