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Finding the Fourth Proportional to 105,870.85, 145,960.38 and 90,698.54

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Solution

The fourth proportional to 105,870.85, 145,960.38 and 90,698.54 is: 125,042.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,870.85 : 145,960.38 = 90,698.54 : x
  2. Step 2: Convert to fraction form
    105,870.85/145,960.38 = 90,698.54/x
  3. Step 3: Cross multiply
    105,870.85x = 145,960.38 × 90,698.54
  4. Step 4: Simplify right side
    105,870.85x = 13,238,392,634.04
  5. Step 5: Solve for x
    x = 13,238,392,634.04/105,870.85
  6. Step 6: Final answer
    x = 125,042.85

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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.