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Finding the Fourth Proportional to 283,070.36, 424,676.82 and 105,583.16

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Solution

The fourth proportional to 283,070.36, 424,676.82 and 105,583.16 is: 158,401.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,070.36 : 424,676.82 = 105,583.16 : x
  2. Step 2: Convert to fraction form
    283,070.36/424,676.82 = 105,583.16/x
  3. Step 3: Cross multiply
    283,070.36x = 424,676.82 × 105,583.16
  4. Step 4: Simplify right side
    283,070.36x = 44,838,720,634.35
  5. Step 5: Solve for x
    x = 44,838,720,634.35/283,070.36
  6. Step 6: Final answer
    x = 158,401.33

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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.