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Finding the Fourth Proportional to 285,302.59, 427,958.75 and 107,893.15

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Solution

The fourth proportional to 285,302.59, 427,958.75 and 107,893.15 is: 161,841.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,302.59 : 427,958.75 = 107,893.15 : x
  2. Step 2: Convert to fraction form
    285,302.59/427,958.75 = 107,893.15/x
  3. Step 3: Cross multiply
    285,302.59x = 427,958.75 × 107,893.15
  4. Step 4: Simplify right side
    285,302.59x = 46,173,817,607.56
  5. Step 5: Solve for x
    x = 46,173,817,607.56/285,302.59
  6. Step 6: Final answer
    x = 161,841.56

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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.