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Finding the Fourth Proportional to 105,708.38, 145,954.10 and 68,048.24

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Solution

The fourth proportional to 105,708.38, 145,954.10 and 68,048.24 is: 93,955.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,708.38 : 145,954.10 = 68,048.24 : x
  2. Step 2: Convert to fraction form
    105,708.38/145,954.10 = 68,048.24/x
  3. Step 3: Cross multiply
    105,708.38x = 145,954.10 × 68,048.24
  4. Step 4: Simplify right side
    105,708.38x = 9,931,919,066.13
  5. Step 5: Solve for x
    x = 9,931,919,066.13/105,708.38
  6. Step 6: Final answer
    x = 93,955.84

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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.