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Finding the Fourth Proportional to 152,867.96, 210,946.22 and 85,787

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Solution

The fourth proportional to 152,867.96, 210,946.22 and 85,787 is: 118,379.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,867.96 : 210,946.22 = 85,787 : x
  2. Step 2: Convert to fraction form
    152,867.96/210,946.22 = 85,787/x
  3. Step 3: Cross multiply
    152,867.96x = 210,946.22 × 85,787
  4. Step 4: Simplify right side
    152,867.96x = 18,096,443,375.14
  5. Step 5: Solve for x
    x = 18,096,443,375.14/152,867.96
  6. Step 6: Final answer
    x = 118,379.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.