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Finding the Fourth Proportional to 152,847.63, 210,936.32 and 84,864.60

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Solution

The fourth proportional to 152,847.63, 210,936.32 and 84,864.60 is: 117,116.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,847.63 : 210,936.32 = 84,864.60 : x
  2. Step 2: Convert to fraction form
    152,847.63/210,936.32 = 84,864.60/x
  3. Step 3: Cross multiply
    152,847.63x = 210,936.32 × 84,864.60
  4. Step 4: Simplify right side
    152,847.63x = 17,901,025,997.95
  5. Step 5: Solve for x
    x = 17,901,025,997.95/152,847.63
  6. Step 6: Final answer
    x = 117,116.80

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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.