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Finding the Fourth Proportional to 105,744.80, 145,851.36 and 89,804

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Solution

The fourth proportional to 105,744.80, 145,851.36 and 89,804 is: 123,864.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,744.80 : 145,851.36 = 89,804 : x
  2. Step 2: Convert to fraction form
    105,744.80/145,851.36 = 89,804/x
  3. Step 3: Cross multiply
    105,744.80x = 145,851.36 × 89,804
  4. Step 4: Simplify right side
    105,744.80x = 13,098,035,533.44
  5. Step 5: Solve for x
    x = 13,098,035,533.44/105,744.80
  6. Step 6: Final answer
    x = 123,864.58

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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.