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Finding the Fourth Proportional to 283,233.36, 424,788.32 and 93,648.94

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Solution

The fourth proportional to 283,233.36, 424,788.32 and 93,648.94 is: 140,453.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,233.36 : 424,788.32 = 93,648.94 : x
  2. Step 2: Convert to fraction form
    283,233.36/424,788.32 = 93,648.94/x
  3. Step 3: Cross multiply
    283,233.36x = 424,788.32 × 93,648.94
  4. Step 4: Simplify right side
    283,233.36x = 39,780,975,892.38
  5. Step 5: Solve for x
    x = 39,780,975,892.38/283,233.36
  6. Step 6: Final answer
    x = 140,453.00

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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.