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Finding the Fourth Proportional to 283,089.44, 424,623.18 and 105,596.12

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Solution

The fourth proportional to 283,089.44, 424,623.18 and 105,596.12 is: 158,390.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,089.44 : 424,623.18 = 105,596.12 : x
  2. Step 2: Convert to fraction form
    283,089.44/424,623.18 = 105,596.12/x
  3. Step 3: Cross multiply
    283,089.44x = 424,623.18 × 105,596.12
  4. Step 4: Simplify right side
    283,089.44x = 44,838,560,270.06
  5. Step 5: Solve for x
    x = 44,838,560,270.06/283,089.44
  6. Step 6: Final answer
    x = 158,390.08

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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.