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Finding the Fourth Proportional to 152,916, 211,033.44 and 85,848

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Solution

The fourth proportional to 152,916, 211,033.44 and 85,848 is: 118,475.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,916 : 211,033.44 = 85,848 : x
  2. Step 2: Convert to fraction form
    152,916/211,033.44 = 85,848/x
  3. Step 3: Cross multiply
    152,916x = 211,033.44 × 85,848
  4. Step 4: Simplify right side
    152,916x = 18,116,798,757.12
  5. Step 5: Solve for x
    x = 18,116,798,757.12/152,916
  6. Step 6: Final answer
    x = 118,475.49

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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.