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Finding the Fourth Proportional to 155,894.94, 214,991.55 and 102,160.35

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Solution

The fourth proportional to 155,894.94, 214,991.55 and 102,160.35 is: 140,887.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,894.94 : 214,991.55 = 102,160.35 : x
  2. Step 2: Convert to fraction form
    155,894.94/214,991.55 = 102,160.35/x
  3. Step 3: Cross multiply
    155,894.94x = 214,991.55 × 102,160.35
  4. Step 4: Simplify right side
    155,894.94x = 21,963,611,995.04
  5. Step 5: Solve for x
    x = 21,963,611,995.04/155,894.94
  6. Step 6: Final answer
    x = 140,887.27

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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.