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Finding the Fourth Proportional to 105,660.14, 145,825.94 and 65,386.87

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Solution

The fourth proportional to 105,660.14, 145,825.94 and 65,386.87 is: 90,243.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,660.14 : 145,825.94 = 65,386.87 : x
  2. Step 2: Convert to fraction form
    105,660.14/145,825.94 = 65,386.87/x
  3. Step 3: Cross multiply
    105,660.14x = 145,825.94 × 65,386.87
  4. Step 4: Simplify right side
    105,660.14x = 9,535,101,089.91
  5. Step 5: Solve for x
    x = 9,535,101,089.91/105,660.14
  6. Step 6: Final answer
    x = 90,243.13

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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.