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Finding the Fourth Proportional to 105,422.98, 145,433.46 and 65,122.24

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Solution

The fourth proportional to 105,422.98, 145,433.46 and 65,122.24 is: 89,837.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,422.98 : 145,433.46 = 65,122.24 : x
  2. Step 2: Convert to fraction form
    105,422.98/145,433.46 = 65,122.24/x
  3. Step 3: Cross multiply
    105,422.98x = 145,433.46 × 65,122.24
  4. Step 4: Simplify right side
    105,422.98x = 9,470,952,686.15
  5. Step 5: Solve for x
    x = 9,470,952,686.15/105,422.98
  6. Step 6: Final answer
    x = 89,837.65

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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.