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Finding the Fourth Proportional to 105,142.16, 144,727.88 and 91,689.68

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Solution

The fourth proportional to 105,142.16, 144,727.88 and 91,689.68 is: 126,210.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,142.16 : 144,727.88 = 91,689.68 : x
  2. Step 2: Convert to fraction form
    105,142.16/144,727.88 = 91,689.68/x
  3. Step 3: Cross multiply
    105,142.16x = 144,727.88 × 91,689.68
  4. Step 4: Simplify right side
    105,142.16x = 13,270,053,004.28
  5. Step 5: Solve for x
    x = 13,270,053,004.28/105,142.16
  6. Step 6: Final answer
    x = 126,210.58

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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.