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Finding the Fourth Proportional to 155,900.84, 214,999.64 and 102,166.34

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Solution

The fourth proportional to 155,900.84, 214,999.64 and 102,166.34 is: 140,895.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,900.84 : 214,999.64 = 102,166.34 : x
  2. Step 2: Convert to fraction form
    155,900.84/214,999.64 = 102,166.34/x
  3. Step 3: Cross multiply
    155,900.84x = 214,999.64 × 102,166.34
  4. Step 4: Simplify right side
    155,900.84x = 21,965,726,320.12
  5. Step 5: Solve for x
    x = 21,965,726,320.12/155,900.84
  6. Step 6: Final answer
    x = 140,895.50

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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.