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Finding the Fourth Proportional to 283,015.83, 424,597.56 and 105,524.38

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Solution

The fourth proportional to 283,015.83, 424,597.56 and 105,524.38 is: 158,314.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,015.83 : 424,597.56 = 105,524.38 : x
  2. Step 2: Convert to fraction form
    283,015.83/424,597.56 = 105,524.38/x
  3. Step 3: Cross multiply
    283,015.83x = 424,597.56 × 105,524.38
  4. Step 4: Simplify right side
    283,015.83x = 44,805,391,617.90
  5. Step 5: Solve for x
    x = 44,805,391,617.90/283,015.83
  6. Step 6: Final answer
    x = 158,314.08

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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.