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Finding the Fourth Proportional to 152,802, 210,868.38 and 85,734

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Solution

The fourth proportional to 152,802, 210,868.38 and 85,734 is: 118,313.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,802 : 210,868.38 = 85,734 : x
  2. Step 2: Convert to fraction form
    152,802/210,868.38 = 85,734/x
  3. Step 3: Cross multiply
    152,802x = 210,868.38 × 85,734
  4. Step 4: Simplify right side
    152,802x = 18,078,589,690.92
  5. Step 5: Solve for x
    x = 18,078,589,690.92/152,802
  6. Step 6: Final answer
    x = 118,313.83

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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.