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Finding the Fourth Proportional to 283,047.29, 424,557.05 and 105,540.41

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Solution

The fourth proportional to 283,047.29, 424,557.05 and 105,540.41 is: 158,305.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,047.29 : 424,557.05 = 105,540.41 : x
  2. Step 2: Convert to fraction form
    283,047.29/424,557.05 = 105,540.41/x
  3. Step 3: Cross multiply
    283,047.29x = 424,557.05 × 105,540.41
  4. Step 4: Simplify right side
    283,047.29x = 44,807,926,450.63
  5. Step 5: Solve for x
    x = 44,807,926,450.63/283,047.29
  6. Step 6: Final answer
    x = 158,305.45

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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.