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Finding the Fourth Proportional to 105,661.23, 145,827.44 and 65,387.97

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Solution

The fourth proportional to 105,661.23, 145,827.44 and 65,387.97 is: 90,244.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,661.23 : 145,827.44 = 65,387.97 : x
  2. Step 2: Convert to fraction form
    105,661.23/145,827.44 = 65,387.97/x
  3. Step 3: Cross multiply
    105,661.23x = 145,827.44 × 65,387.97
  4. Step 4: Simplify right side
    105,661.23x = 9,535,359,215.82
  5. Step 5: Solve for x
    x = 9,535,359,215.82/105,661.23
  6. Step 6: Final answer
    x = 90,244.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.