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Finding the Fourth Proportional to 283,073.91, 424,599.93 and 105,580.64

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Solution

The fourth proportional to 283,073.91, 424,599.93 and 105,580.64 is: 158,366.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,073.91 : 424,599.93 = 105,580.64 : x
  2. Step 2: Convert to fraction form
    283,073.91/424,599.93 = 105,580.64/x
  3. Step 3: Cross multiply
    283,073.91x = 424,599.93 × 105,580.64
  4. Step 4: Simplify right side
    283,073.91x = 44,829,530,230.36
  5. Step 5: Solve for x
    x = 44,829,530,230.36/283,073.91
  6. Step 6: Final answer
    x = 158,366.87

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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.