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Finding the Fourth Proportional to 152,236.94, 210,083.96 and 84,249.96

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Solution

The fourth proportional to 152,236.94, 210,083.96 and 84,249.96 is: 116,263.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,236.94 : 210,083.96 = 84,249.96 : x
  2. Step 2: Convert to fraction form
    152,236.94/210,083.96 = 84,249.96/x
  3. Step 3: Cross multiply
    152,236.94x = 210,083.96 × 84,249.96
  4. Step 4: Simplify right side
    152,236.94x = 17,699,565,226.64
  5. Step 5: Solve for x
    x = 17,699,565,226.64/152,236.94
  6. Step 6: Final answer
    x = 116,263.28

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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.