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Finding the Fourth Proportional to 283,102.98, 424,727.96 and 105,611.32

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Solution

The fourth proportional to 283,102.98, 424,727.96 and 105,611.32 is: 158,444.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,102.98 : 424,727.96 = 105,611.32 : x
  2. Step 2: Convert to fraction form
    283,102.98/424,727.96 = 105,611.32/x
  3. Step 3: Cross multiply
    283,102.98x = 424,727.96 × 105,611.32
  4. Step 4: Simplify right side
    283,102.98x = 44,856,080,496.51
  5. Step 5: Solve for x
    x = 44,856,080,496.51/283,102.98
  6. Step 6: Final answer
    x = 158,444.40

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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.