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Finding the Fourth Proportional to 190,617.84, 263,084.16 and 105,762.24

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Solution

The fourth proportional to 190,617.84, 263,084.16 and 105,762.24 is: 145,969.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,617.84 : 263,084.16 = 105,762.24 : x
  2. Step 2: Convert to fraction form
    190,617.84/263,084.16 = 105,762.24/x
  3. Step 3: Cross multiply
    190,617.84x = 263,084.16 × 105,762.24
  4. Step 4: Simplify right side
    190,617.84x = 27,824,370,070.12
  5. Step 5: Solve for x
    x = 27,824,370,070.12/190,617.84
  6. Step 6: Final answer
    x = 145,969.39

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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.