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Finding the Fourth Proportional to 152,463, 210,398.94 and 85,395

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Solution

The fourth proportional to 152,463, 210,398.94 and 85,395 is: 117,845.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,463 : 210,398.94 = 85,395 : x
  2. Step 2: Convert to fraction form
    152,463/210,398.94 = 85,395/x
  3. Step 3: Cross multiply
    152,463x = 210,398.94 × 85,395
  4. Step 4: Simplify right side
    152,463x = 17,967,017,481.30
  5. Step 5: Solve for x
    x = 17,967,017,481.30/152,463
  6. Step 6: Final answer
    x = 117,845.10

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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.