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Finding the Fourth Proportional to 105,757.76, 145,945.32 and 65,463.50

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Solution

The fourth proportional to 105,757.76, 145,945.32 and 65,463.50 is: 90,339.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,757.76 : 145,945.32 = 65,463.50 : x
  2. Step 2: Convert to fraction form
    105,757.76/145,945.32 = 65,463.50/x
  3. Step 3: Cross multiply
    105,757.76x = 145,945.32 × 65,463.50
  4. Step 4: Simplify right side
    105,757.76x = 9,554,091,455.82
  5. Step 5: Solve for x
    x = 9,554,091,455.82/105,757.76
  6. Step 6: Final answer
    x = 90,339.39

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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.