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Finding the Fourth Proportional to 105,497.28, 145,586.65 and 57,755.07

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Solution

The fourth proportional to 105,497.28, 145,586.65 and 57,755.07 is: 79,702.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,497.28 : 145,586.65 = 57,755.07 : x
  2. Step 2: Convert to fraction form
    105,497.28/145,586.65 = 57,755.07/x
  3. Step 3: Cross multiply
    105,497.28x = 145,586.65 × 57,755.07
  4. Step 4: Simplify right side
    105,497.28x = 8,408,367,161.82
  5. Step 5: Solve for x
    x = 8,408,367,161.82/105,497.28
  6. Step 6: Final answer
    x = 79,702.22

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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.