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Finding the Fourth Proportional to 152,467, 210,404.46 and 85,399

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Solution

The fourth proportional to 152,467, 210,404.46 and 85,399 is: 117,850.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,467 : 210,404.46 = 85,399 : x
  2. Step 2: Convert to fraction form
    152,467/210,404.46 = 85,399/x
  3. Step 3: Cross multiply
    152,467x = 210,404.46 × 85,399
  4. Step 4: Simplify right side
    152,467x = 17,968,330,479.54
  5. Step 5: Solve for x
    x = 17,968,330,479.54/152,467
  6. Step 6: Final answer
    x = 117,850.62

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