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Finding the Fourth Proportional to 283,181.62, 424,758.57 and 105,674.79

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Solution

The fourth proportional to 283,181.62, 424,758.57 and 105,674.79 is: 158,507.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,181.62 : 424,758.57 = 105,674.79 : x
  2. Step 2: Convert to fraction form
    283,181.62/424,758.57 = 105,674.79/x
  3. Step 3: Cross multiply
    283,181.62x = 424,758.57 × 105,674.79
  4. Step 4: Simplify right side
    283,181.62x = 44,886,272,685.45
  5. Step 5: Solve for x
    x = 44,886,272,685.45/283,181.62
  6. Step 6: Final answer
    x = 158,507.01

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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.