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Finding the Fourth Proportional to 105,661.49, 158,442.06 and 61,301.84

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Solution

The fourth proportional to 105,661.49, 158,442.06 and 61,301.84 is: 91,923.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,661.49 : 158,442.06 = 61,301.84 : x
  2. Step 2: Convert to fraction form
    105,661.49/158,442.06 = 61,301.84/x
  3. Step 3: Cross multiply
    105,661.49x = 158,442.06 × 61,301.84
  4. Step 4: Simplify right side
    105,661.49x = 9,712,789,019.18
  5. Step 5: Solve for x
    x = 9,712,789,019.18/105,661.49
  6. Step 6: Final answer
    x = 91,923.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.