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Finding the Fourth Proportional to 155,786.84, 214,985.54 and 84,166.64

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Solution

The fourth proportional to 155,786.84, 214,985.54 and 84,166.64 is: 116,149.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,786.84 : 214,985.54 = 84,166.64 : x
  2. Step 2: Convert to fraction form
    155,786.84/214,985.54 = 84,166.64/x
  3. Step 3: Cross multiply
    155,786.84x = 214,985.54 × 84,166.64
  4. Step 4: Simplify right side
    155,786.84x = 18,094,610,550.39
  5. Step 5: Solve for x
    x = 18,094,610,550.39/155,786.84
  6. Step 6: Final answer
    x = 116,149.80

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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.