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Finding the Fourth Proportional to 152,894.14, 210,996.74 and 84,917.41

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Solution

The fourth proportional to 152,894.14, 210,996.74 and 84,917.41 is: 117,187.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,894.14 : 210,996.74 = 84,917.41 : x
  2. Step 2: Convert to fraction form
    152,894.14/210,996.74 = 84,917.41/x
  3. Step 3: Cross multiply
    152,894.14x = 210,996.74 × 84,917.41
  4. Step 4: Simplify right side
    152,894.14x = 17,917,295,199.67
  5. Step 5: Solve for x
    x = 17,917,295,199.67/152,894.14
  6. Step 6: Final answer
    x = 117,187.59

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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.