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Finding the Fourth Proportional to 105,235.35, 145,226.92 and 57,491.78

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Solution

The fourth proportional to 105,235.35, 145,226.92 and 57,491.78 is: 79,339.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,235.35 : 145,226.92 = 57,491.78 : x
  2. Step 2: Convert to fraction form
    105,235.35/145,226.92 = 57,491.78/x
  3. Step 3: Cross multiply
    105,235.35x = 145,226.92 × 57,491.78
  4. Step 4: Simplify right side
    105,235.35x = 8,349,354,134.72
  5. Step 5: Solve for x
    x = 8,349,354,134.72/105,235.35
  6. Step 6: Final answer
    x = 79,339.82

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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.